* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 162 additional inputs, on iter 1 have 94 / 256 * * * * [misc]points: Computing exacts on every 10 of 162 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 5 of 162 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 162 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 162 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 106 additional inputs, on iter 2 have 150 / 256 * * * * [misc]points: Computing exacts on every 6 of 106 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 106 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 106 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 62 additional inputs, on iter 3 have 194 / 256 * * * * [misc]points: Computing exacts on every 3 of 62 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 62 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 27 additional inputs, on iter 4 have 229 / 256 * * * * [misc]points: Computing exacts for 27 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 17 additional inputs, on iter 5 have 239 / 256 * * * * [misc]points: Computing exacts for 17 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 6 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 9 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 10 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (+ (+ (* (* 4 a) (+ a (* a a))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (- (* (* 4 (* b b)) (+ (* a -3) 1)) 1)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) in b * [misc]taylor: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow a 2) 0) into (pow a 2) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (* a a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (pow b 2) 1) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 4 (pow b 2)) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (+ (pow b 4) (* 4 (pow b 2))) into (+ (pow b 4) (* 4 (pow b 2))) * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (* 4 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) -3) (* 0 1)) into (- (* 3 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 3 (pow b 2)))) into (- (* 3 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 3 (pow b 2)))) (* 0 (pow b 2))) into (- (* 12 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 12 (pow b 2)))) into (- (* 12 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (* 12 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 -3) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (+ (* 0 (- (* 3 (pow b 2)))) (* 0 (pow b 2)))) into 4 * [misc]backup-simplify: Simplify (+ (* 2 (pow b 2)) 4) into (+ (* 2 (pow b 2)) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow b 2)) 4) in b * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (* 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (+ (* 0 1) (+ (* 0 (- (* 3 (pow b 2)))) (* 0 (pow b 2))))) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (pow (* 1 a) 3)) (+ (* 4 (pow (* b 1) 2)) (* 4 (pow (* 1 a) 2)))) into (+ (* 4 (pow a 2)) (+ (* 4 (pow b 2)) (* 4 (pow a 3)))) * [misc]approximate: Taking taylor expansion of (+ (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 1)) into 4 * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (pow b 2))) 4) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) -3) into (/ -3 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -3 (pow b 2))) into (- (* 3 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 3 (/ 1 (pow b 2))))) (+ (* 0 1) (* 0 1))) into (- (* 12 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 12 (/ 1 (pow b 2))))) into (- (* 12 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 1) (* 0 -3)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow b 2))) (+ (* 0 (- (* 3 (/ 1 (pow b 2))))) (+ (* 0 1) (* 0 1)))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) into (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (+ (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 4 -1) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 -1)) into 4 * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (pow b 2))) 4) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (- -3) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 3) into (/ 3 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 3 (pow b 2))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 4 (* 3 (/ 1 (pow b 2)))) (+ (* 0 1) (* 0 -1))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 12 (/ 1 (pow b 2)))) into (* 12 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 1) (* 0 3)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow b 2))) (+ (* 0 (* 3 (/ 1 (pow b 2)))) (+ (* 0 1) (* 0 -1)))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) into (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (* a a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (pow b 2) 1) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) -3) (* 0 1)) into (- (* 3 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 3 (pow b 2)))) into (- (* 3 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (* 3 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (* 3 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 -3) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (* 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 a) 3)) (+ (* 1 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2)))) into (+ (pow a 2) (+ (pow b 2) (pow a 3))) * [misc]approximate: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) -3) into (/ -3 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -3 (pow b 2))) into (- (* 3 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 3 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 1) (* 0 -3)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 3)) (* -3 (* (pow (/ 1 b) -2) (/ 1 (/ 1 a)))))) into (- (+ (pow b 2) (pow a 3)) (* 3 (* a (pow b 2)))) * [misc]approximate: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (- -3) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 3) into (/ 3 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 3 (pow b 2))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 1) (* 0 3)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2)) (+ (* -1 (pow (* 1 (/ 1 (/ 1 (- a)))) 3)) (* 3 (* (pow (/ 1 (- b)) -2) (/ 1 (/ 1 (- a))))))) into (- (+ (pow b 2) (pow a 3)) (* 3 (* a (pow b 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 a) into (* 3 a) * [misc]backup-simplify: Simplify (- (* 3 a)) into (- (* 3 a)) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 a))) into (- 1 (* 3 a)) * [misc]backup-simplify: Simplify (* 0 (- 1 (* 3 a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (- 1 (* 3 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (- 1 (* 3 a))))) into (- 1 (* 3 a)) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (- 1 (* 3 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (* 3 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -3 (* a (pow b 2))) (* 1 (pow (* 1 b) 2))) into (- (pow b 2) (* 3 (* a (pow b 2)))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ 1 a)) into (/ 3 a) * [misc]backup-simplify: Simplify (- (/ 3 a)) into (- (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (- 1 (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- 1 (* 3 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* -3 (* (/ 1 (/ 1 a)) (pow (/ 1 b) -2)))) into (- (pow b 2) (* 3 (* a (pow b 2)))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ -1 a)) into (/ -3 a) * [misc]backup-simplify: Simplify (- (/ -3 a)) into (* 3 (/ 1 a)) * [misc]backup-simplify: Simplify (+ 1 (* 3 (/ 1 a))) into (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* 1 (+ (* 3 (/ 1 a)) 1)) into (+ (* 3 (/ 1 a)) 1) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ 1 a)) 1) in a * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (* 3 (/ 1 a)) 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (* 3 (/ 1 a)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 3 (/ 1 a)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 3 (/ 1 a)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* 3 (* (/ 1 (/ 1 (- a))) (pow (/ 1 (- b)) -2)))) into (- (pow b 2) (* 3 (* a (pow b 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow a 2) 0) into (pow a 2) * [misc]taylor: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow b 2)))))) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* b 1) 4)) (+ (* 2 (pow (* b a) 2)) (* 1 (pow (* 1 a) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * [misc]approximate: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (pow (+ (* a a) (* b b)) 2)) (exp (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (exp (+ (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (* 4 (* b b)) (- 1 (* 3 a)))) (* (* a 4) (+ (* a a) a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (log (exp (+ (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (* 4 (* b b)) (- 1 (* 3 a)))) (* (* a 4) (+ (* a a) a))))) 1)) * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (* (* b b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (* b b) (+ (* a -12) 4)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (+ (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* (* a a) (+ 1 a)))) (* (* b b) (+ (* a -12) 4))) 1)) * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* b b) (- 1 (* 3 a))) 4) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (* (- 4 (* 12 a)) (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (+ (+ (pow (+ (* a a) (* b b)) 2) (* (* (* a a) (+ 1 a)) 4)) (* (- 4 (* 12 a)) (* b b))) 1)) * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (* a a) (+ 1 a))) (exp (* (* b b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (* (pow (exp (* b b)) (+ 1 (* a -3))) (exp (* (+ a 1) (* a a)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (log (* (pow (exp (* b b)) (+ 1 (* a -3))) (exp (* (+ a 1) (* a a))))))) 1)) * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (+ (pow 1 3) (pow a 3))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (* (* b b) (- (pow 1 3) (pow (* 3 a) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (* (* 27 a) (* a a))) (* (- (* a a) (- a 1)) (* b b))) (* (* (+ (pow a 4) a) a) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (- 1 (* (* 27 a) (* a a))) (* (- (* a a) (- a 1)) (* b b))) (* (* (+ (pow a 4) a) a) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))))) 1)) * [enter]simplify: Simplifying (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (- 1 a))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (- 1 (* (* 27 a) (* a a))) (* (- (* a a) (- a 1)) (* b b))) (* (* (+ (pow a 4) a) a) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (- 1 a)))))) 1)) * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (+ (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (* (* b b) (- (* 1 1) (* (* 3 a) (* 3 a)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (- 1 a)) (* b b)) (- 1 (* a (* a 9)))) (* (+ a (pow a 4)) (+ (* a (* 3 a)) a))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (* (+ (* a a) (- 1 a)) (* b b)) (- 1 (* a (* a 9)))) (* (+ a (pow a 4)) (+ (* a (* 3 a)) a))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 1 (* 3 a)))))) 1)) * [enter]simplify: Simplifying (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 1 (* 3 a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (* (+ (* a a) (- 1 a)) (* b b)) (- 1 (* a (* a 9)))) (* (+ a (pow a 4)) (+ (* a (* 3 a)) a))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))) 1)) * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (- (* 1 1) (* a a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (* b b) (- (pow 1 3) (pow (* 3 a) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (* b b)) (- 1 (pow (* a 3) 3))) (* (* (- 1 (* a a)) (* a a)) (+ (+ (* a 3) 1) (* a (* 9 a))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (* (- 1 a) (* b b)) (- 1 (pow (* a 3) 3))) (* (* (- 1 (* a a)) (* a a)) (+ (+ (* a 3) 1) (* a (* 9 a))))) (* (- 1 a) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))))) 1)) * [enter]simplify: Simplifying (* (- 1 a) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (+ (* (* (* a 3) (- 1 a)) (+ 1 (* a 3))) (- 1 a)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (* (- 1 a) (* b b)) (- 1 (pow (* a 3) 3))) (* (* (- 1 (* a a)) (* a a)) (+ (+ (* a 3) 1) (* a (* 9 a))))) (+ (* (* (* a 3) (- 1 a)) (+ 1 (* a 3))) (- 1 a))))) 1)) * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (- (* 1 1) (* a a))) (+ 1 (* 3 a))) (* (- 1 a) (* (* b b) (- (* 1 1) (* (* 3 a) (* 3 a)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 (* a a)) a) (+ a (* 3 (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (* (- 1 (* a a)) a) (+ a (* 3 (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9))))) (* (- 1 a) (+ 1 (* 3 a)))))) 1)) * [enter]simplify: Simplifying (* (- 1 a) (+ 1 (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (* (- 1 a) (+ 1 (* 3 a))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (* (- 1 (* a a)) a) (+ a (* 3 (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9))))) (* (- 1 a) (+ 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (- (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (* a b) (* b -3)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (+ (* (* a a) (+ 1 a)) (* (* b b) 1)) (* (* a b) (* b -3))))) 1)) * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (- (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (* a b) (* b -3)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (+ (* (* a a) (+ 1 a)) (* (* b b) 1)) (* (* a b) (* b -3))))) 1)) * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 3 a)) (* b b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (* -3 a) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (+ (* (* a a) (+ 1 a)) (* 1 (* b b))) (* (* -3 a) (* b b))))) 1)) * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 3 a)) (* b b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (* -3 a) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (+ (* (* a a) (+ 1 a)) (* 1 (* b b))) (* (* -3 a) (* b b))))) 1)) * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a a) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* a a) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* a a) (+ (* (* a a) a) (* (* b b) (- 1 (* 3 a))))))) 1)) * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (* a a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* a a) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* a a) (+ (* a (* a a)) (* (* b b) (- 1 (* 3 a))))))) 1)) * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (- 1 (* 3 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (* (+ (* a -3) 1) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (pow (* (+ (* a -3) 1) (* b b)) 1)))) 1)) * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* b b)) (log (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (+ (log (- 1 (* 3 a))) (log (* b b))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (exp (+ (log (- 1 (* 3 a))) (log (* b b))))))) 1)) * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* b b) (* b b)) (* b b)) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (* (* (+ (* a -3) 1) (* (pow b 3) (pow b 3))) (* (+ (* a -3) 1) (+ (* a -3) 1))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (cbrt (* (* (+ (* a -3) 1) (* (pow b 3) (pow b 3))) (* (+ (* a -3) 1) (+ (* a -3) 1))))))) 1)) * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (- (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (* a b) (* b -3)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (+ (* (* b b) 1) (* (* a b) (* b -3)))))) 1)) * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (- (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (* a b) (* b -3)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (+ (* (* b b) 1) (* (* a b) (* b -3)))))) 1)) * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 3 a)) (* b b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (* -3 a) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (+ (* 1 (* b b)) (* (* -3 a) (* b b)))))) 1)) * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 3 a)) (* b b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (* -3 a) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (+ (* 1 (* b b)) (* (* -3 a) (* b b)))))) 1)) * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* 3 a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (* a -3))) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (* b b) (* (cbrt (- 1 (* 3 a))) (cbrt (- 1 (* 3 a))))) (cbrt (+ 1 (* a -3))))))) 1)) * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* 3 a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* a -3))) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (* b b) (sqrt (- 1 (* 3 a)))) (sqrt (+ 1 (* a -3))))))) 1)) * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* 3 a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (+ 1 (* -3 a)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (* b b) 1) (+ 1 (* -3 a)))))) 1)) * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (+ (* (* 9 a) a) (+ 1 (* 3 a))) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (/ (* (* b b) (- (pow 1 3) (pow (* 3 a) 3))) (+ (* (* 9 a) a) (+ 1 (* 3 a))))))) 1)) * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* 3 a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (* a 3) 1) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (/ (* (* b b) (- (* 1 1) (* (* 3 a) (* 3 a)))) (+ (* a 3) 1))))) 1)) * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (* a a) (* b b))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (log (+ (* a a) (* b b))) 2) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (+ (exp (* (log (+ (* a a) (* b b))) 2)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) (* 1 2)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (+ (* (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))) (pow (cbrt (+ (* a a) (* b b))) 2)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ (* a a) (* b b))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (+ (* (+ (* a a) (* b b)) (pow (sqrt (+ (* a a) (* b b))) 2)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (+ (* 1 (pow (+ (* a a) (* b b)) 2)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4 (pow a 2)) (+ (* 4 (pow b 2)) (* 4 (pow a 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* 4 (+ (* b b) (* (* a a) (+ a 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (* 4 (+ (* b b) (* (* a a) (+ a 1)))) 1)) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) 1)) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) 1)) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow a 2) (+ (pow b 2) (pow a 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (+ (* (+ 1 a) (* a a)) (* b b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (+ 1 a) (* a a)) (* b b)))) 1)) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 2) (pow a 3)) (* 3 (* a (pow b 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (- (+ (pow a 3) (* b b)) (* (* b b) (* a 3))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (- (+ (pow a 3) (* b b)) (* (* b b) (* a 3))))) 1)) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 2) (pow a 3)) (* 3 (* a (pow b 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (- (+ (pow a 3) (* b b)) (* (* b b) (* a 3))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (- (+ (pow a 3) (* b b)) (* (* b b) (* a 3))))) 1)) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 2) (* 3 (* a (pow b 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (+ 1 (* -3 a)) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (+ 1 (* -3 a)) (* b b))))) 1)) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 2) (* 3 (* a (pow b 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (+ 1 (* -3 a)) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (+ 1 (* -3 a)) (* b b))))) 1)) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 2) (* 3 (* a (pow b 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (+ 1 (* -3 a)) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (+ 1 (* -3 a)) (* b b))))) 1)) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (+ (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (+ (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (+ (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2 1 2) * [misc]approximate: Taking taylor expansion of (* (pow a 2) (pow b 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* b a) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (* a a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (* a a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (+ 1 a) into (+ a 1) * [misc]backup-simplify: Simplify (* (pow a 2) (+ a 1)) into (* (pow a 2) (+ a 1)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 a) into (* 3 a) * [misc]backup-simplify: Simplify (- (* 3 a)) into (- (* 3 a)) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 a))) into (- 1 (* 3 a)) * [misc]backup-simplify: Simplify (* 0 (- 1 (* 3 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) (+ a 1)) 0) into (+ (pow a 2) (pow a 3)) * [misc]backup-simplify: Simplify (* 4 (+ (pow a 2) (pow a 3))) into (* 4 (+ (pow a 2) (pow a 3))) * [misc]backup-simplify: Simplify (+ (pow a 4) (* 4 (+ (pow a 2) (pow a 3)))) into (+ (* 4 (pow a 2)) (+ (pow a 4) (* 4 (pow a 3)))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow a 2)) (+ (pow a 4) (* 4 (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (* 4 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (+ a 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (- 1 (* 3 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (+ (pow a 2) (pow a 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 0) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (+ a 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (- 1 (* 3 a))))) into (- 1 (* 3 a)) * [misc]backup-simplify: Simplify (+ 0 (- 1 (* 3 a))) into (- 1 (* 3 a)) * [misc]backup-simplify: Simplify (+ (* 4 (- 1 (* 3 a))) (+ (* 0 0) (* 0 (+ (pow a 2) (pow a 3))))) into (- 4 (* 12 a)) * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) (- 4 (* 12 a))) into (- (+ (* 2 (pow a 2)) 4) (* 12 a)) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (pow a 2)) 4) (* 12 a)) in a * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow a 2)) 4) in a * [misc]taylor: Taking taylor expansion of (* 2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 12 a) in a * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (* 12 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ a 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (- 1 (* 3 a)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 (- 1 (* 3 a))) (+ (* 0 0) (* 0 (+ (pow a 2) (pow a 3)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 12 1) (* 0 0)) into 12 * [misc]backup-simplify: Simplify (- 12) into -12 * [misc]backup-simplify: Simplify (+ 0 -12) into -12 * [misc]backup-simplify: Simplify -12 into -12 * [misc]backup-simplify: Simplify (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow (* a 1) 2)) (* 4 (pow (* 1 b) 2)))) into (- (+ (* 4 (pow a 2)) (* 4 (pow b 2))) (* 12 (* a (pow b 2)))) * [misc]approximate: Taking taylor expansion of (+ (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ 1 a)) into (/ 3 a) * [misc]backup-simplify: Simplify (- (/ 3 a)) into (- (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (- 1 (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- 1 (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 4 (- 1 (* 3 (/ 1 a)))) into (* 4 (- 1 (* 3 (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (pow a 2))) (* 4 (- 1 (* 3 (/ 1 a))))) into (- (+ (* 2 (/ 1 (pow a 2))) 4) (* 12 (/ 1 a))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow a 2))) 4) (* 12 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- 1 (* 3 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (- 1 (* 3 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 a)) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (+ (/ 1 a) 1)) into (/ (+ (/ 1 a) 1) (pow a 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (/ (+ (/ 1 a) 1) (pow a 2)) 0) into (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (+ (* 4 (+ (/ 1 (pow a 2)) (/ 1 (pow a 3)))) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a)))))) into (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3))))) into (+ (* 4 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 3))) (/ 1 (pow a 4)))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 3))) (/ 1 (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 3))) (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * [misc]approximate: Taking taylor expansion of (+ (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ -1 a)) into (/ -3 a) * [misc]backup-simplify: Simplify (- (/ -3 a)) into (* 3 (/ 1 a)) * [misc]backup-simplify: Simplify (+ 1 (* 3 (/ 1 a))) into (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* 1 (+ (* 3 (/ 1 a)) 1)) into (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (+ 0 (+ (* 3 (/ 1 a)) 1)) into (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* 4 (+ (* 3 (/ 1 a)) 1)) into (* 4 (+ (* 3 (/ 1 a)) 1)) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (pow a 2))) (* 4 (+ (* 3 (/ 1 a)) 1))) into (+ (* 12 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) 4)) * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) 4)) in a * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (* 3 (/ 1 a)) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (+ (* 3 (/ 1 a)) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ 1 (/ -1 a)) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (- 1 (/ 1 a))) into (/ (- 1 (/ 1 a)) (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (* 3 (/ 1 a)) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ (- 1 (/ 1 a)) (pow a 2)) 0) into (- (/ 1 (pow a 2)) (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (+ (* 4 (- (/ 1 (pow a 2)) (/ 1 (pow a 3)))) (+ (* 0 0) (* 0 (+ (* 3 (/ 1 a)) 1)))) into (- (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) (- (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3))))) into (- (+ (* 4 (/ 1 (pow a 2))) (/ 1 (pow a 4))) (* 4 (/ 1 (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow a 2))) (/ 1 (pow a 4))) (* 4 (/ 1 (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 2))) (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (* a a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (pow b 2) 1) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) -3) (* 0 1)) into (- (* 3 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 3 (pow b 2)))) into (- (* 3 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (* 3 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (* 3 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 -3) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (* 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 a) 3)) (+ (* 1 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2)))) into (+ (pow a 2) (+ (pow b 2) (pow a 3))) * [misc]approximate: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) -3) into (/ -3 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -3 (pow b 2))) into (- (* 3 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 3 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 1) (* 0 -3)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 3)) (* -3 (* (pow (/ 1 b) -2) (/ 1 (/ 1 a)))))) into (- (+ (pow b 2) (pow a 3)) (* 3 (* a (pow b 2)))) * [misc]approximate: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (- -3) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 3) into (/ 3 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 3 (pow b 2))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 1) (* 0 3)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2)) (+ (* -1 (pow (* 1 (/ 1 (/ 1 (- a)))) 3)) (* 3 (* (pow (/ 1 (- b)) -2) (/ 1 (/ 1 (- a))))))) into (- (+ (pow b 2) (pow a 3)) (* 3 (* a (pow b 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 a) into (* 3 a) * [misc]backup-simplify: Simplify (- (* 3 a)) into (- (* 3 a)) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 a))) into (- 1 (* 3 a)) * [misc]backup-simplify: Simplify (* 0 (- 1 (* 3 a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (- 1 (* 3 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (- 1 (* 3 a))))) into (- 1 (* 3 a)) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (- 1 (* 3 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (* 3 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -3 (* a (pow b 2))) (* 1 (pow (* 1 b) 2))) into (- (pow b 2) (* 3 (* a (pow b 2)))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ 1 a)) into (/ 3 a) * [misc]backup-simplify: Simplify (- (/ 3 a)) into (- (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (- 1 (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- 1 (* 3 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* -3 (* (/ 1 (/ 1 a)) (pow (/ 1 b) -2)))) into (- (pow b 2) (* 3 (* a (pow b 2)))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ -1 a)) into (/ -3 a) * [misc]backup-simplify: Simplify (- (/ -3 a)) into (* 3 (/ 1 a)) * [misc]backup-simplify: Simplify (+ 1 (* 3 (/ 1 a))) into (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* 1 (+ (* 3 (/ 1 a)) 1)) into (+ (* 3 (/ 1 a)) 1) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ 1 a)) 1) in a * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (* 3 (/ 1 a)) 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (* 3 (/ 1 a)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 3 (/ 1 a)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 3 (/ 1 a)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* 3 (* (/ 1 (/ 1 (- a))) (pow (/ 1 (- b)) -2)))) into (- (pow b 2) (* 3 (* a (pow b 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 1 1 2 1 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (pow (* a b) 2)) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 2 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 1 1 2 1 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log a) (log b))))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 4 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (log (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 1 1 2 1 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log a) (log b))))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 5 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log b) (log a))) * [misc]simplify: Simplified (2 1 1 2 1 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log b) (log a))))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 6 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (log (pow b 2))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ (log b) (log a)) 2) * [misc]simplify: Simplified (2 1 1 2 1 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (exp (* (+ (log b) (log a)) 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 7 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (pow a 2) (pow a 2)) (pow a 2)) (* (* (pow b 2) (pow b 2)) (pow b 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (pow (* a a) 3) (pow (* b b) 3)) * [misc]simplify: Simplified (2 1 1 2 1 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (cbrt (* (pow (* a a) 3) (pow (* b b) 3)))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 10 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (* b b)) * [misc]simplify: Simplified (2 1 1 2 1 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (* (pow a 2) (* (cbrt (pow b 2)) (cbrt (pow b 2)))) (cbrt (* b b)))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 16 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs b) * [misc]simplify: Simplified (2 1 1 2 1 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (* (pow a 2) (sqrt (pow b 2))) (fabs b))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 17 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (pow b 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* b b) * [misc]simplify: Simplified (2 1 1 2 1 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (* (pow a 2) 1) (* b b))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 18 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow a 2)) (cbrt (pow a 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* a a)) (cbrt (* a a))) * [misc]simplify: Simplified (2 1 1 2 1 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (* (cbrt (* a a)) (cbrt (* a a))) (* (cbrt (pow a 2)) (pow b 2)))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 20 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow a 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs a) * [misc]simplify: Simplified (2 1 1 2 1 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (fabs a) (* (sqrt (pow a 2)) (pow b 2)))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 21 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (pow b 4)) (* (exp (* 2 (* (pow a 2) (pow b 2)))) (exp (pow a 4)))) (exp (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (exp (+ (+ (* (* a a) (+ 4 (* a 4))) (* (+ 1 (* -3 a)) (* b (* b 4)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (log (exp (+ (+ (* (* a a) (+ 4 (* a 4))) (* (+ 1 (* -3 a)) (* b (* b 4)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))))) 1)) * * * * [misc]progress: [ 24 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (pow b 4)) (exp (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (exp (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (exp (+ (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (* (* a 4) (+ a (* a a))) (* (+ (* -3 a) 1) (* (* b 4) b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (log (exp (+ (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (* (* a 4) (+ a (* a a))) (* (+ (* -3 a) 1) (* (* b 4) b)))))) 1)) * * * * [misc]progress: [ 25 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (exp (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (exp (+ (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (* (* 4 a) (+ (* a a) a)) (* (+ (* a -3) 1) (* (* b b) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (log (exp (+ (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (* (* 4 a) (+ (* a a) a)) (* (+ (* a -3) 1) (* (* b b) 4)))))) 1)) * * * * [misc]progress: [ 26 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* 4 (+ (* (* (* a a) (+ (pow 1 3) (pow a 3))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (* (* b b) (- (pow 1 3) (pow (* 3 a) 3)))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (* a a) (- a 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))) (* (* 4 (+ (* (- 1 (* (* 27 a) (* a a))) (* (- (* a a) (- a 1)) (* b b))) (* (+ (* a a) (* (pow a 3) (* a a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (* a a) (- a 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))) (* (* 4 (+ (* (- 1 (* (* 27 a) (* a a))) (* (- (* a a) (- a 1)) (* b b))) (* (+ (* a a) (* (pow a 3) (* a a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))))) 1)) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (+ (* a a) (- 1 a)) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* 3 a)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (* a a) (- a 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))) (* (* 4 (+ (* (- 1 (* (* 27 a) (* a a))) (* (- (* a a) (- a 1)) (* b b))) (* (+ (* a a) (* (pow a 3) (* a a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (+ (* a a) (- 1 a)) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* 3 a))))) 1)) * * * * [misc]progress: [ 33 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 1 (* 3 a)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* 4 (+ (* (* (* a a) (+ (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (* (* b b) (- (* 1 1) (* (* 3 a) (* 3 a))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))))) (* (+ (* (* a a) (* (+ (* 3 a) 1) (+ 1 (pow a 3)))) (* (- 1 (* (* a 9) a)) (* (- (* a a) (- a 1)) (* b b)))) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (* (+ (* 3 a) 1) (- (* a a) (- a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))))) (* (+ (* (* a a) (* (+ (* 3 a) 1) (+ 1 (pow a 3)))) (* (- 1 (* (* a 9) a)) (* (- (* a a) (- a 1)) (* b b)))) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (* (+ (* 3 a) 1) (- (* a a) (- a 1))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 1 (* 3 a))))) 1)) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4))) (* (+ (* a a) (- 1 a)) (+ 1 (* a 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))))) (* (+ (* (* a a) (* (+ (* 3 a) 1) (+ 1 (pow a 3)))) (* (- 1 (* (* a 9) a)) (* (- (* a a) (- a 1)) (* b b)))) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (* (+ (* 3 a) 1) (- (* a a) (- a 1))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4))) (* (+ (* a a) (- 1 a)) (+ 1 (* a 3))))) 1)) * * * * [misc]progress: [ 34 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (- 1 a) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* 4 (+ (* (* (* a a) (- (* 1 1) (* a a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (* b b) (- (pow 1 3) (pow (* 3 a) 3)))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (* (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (pow (* 3 a) 3)))) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))) (- 1 a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (* (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (pow (* 3 a) 3)))) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))) (- 1 a)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 a) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))))) 1)) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 a) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (- 1 a) (* (* (- 1 a) (* a 3)) (+ 1 (* a 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (* (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (pow (* 3 a) 3)))) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))) (- 1 a)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (- 1 a) (* (* (- 1 a) (* a 3)) (+ 1 (* a 3)))))) 1)) * * * * [misc]progress: [ 35 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (- 1 a) (+ 1 (* 3 a)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* 4 (+ (* (* (* a a) (- (* 1 1) (* a a))) (+ 1 (* 3 a))) (* (- 1 a) (* (* b b) (- (* 1 1) (* (* 3 a) (* 3 a))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (pow (pow b 4) 3) (- 1 a)) (+ (* 3 a) 1)) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b)))) (+ (* (* 4 (- 1 (* a a))) (+ (* (* 3 a) (* a a)) (* a a))) (* (* (* 4 (- 1 a)) b) (+ b (* (* a -9) (* a b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (+ (* (* (pow (pow b 4) 3) (- 1 a)) (+ (* 3 a) 1)) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b)))) (+ (* (* 4 (- 1 (* a a))) (+ (* (* 3 a) (* a a)) (* a a))) (* (* (* 4 (- 1 a)) b) (+ b (* (* a -9) (* a b))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 a) (+ 1 (* 3 a))))) 1)) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 a) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (- 1 a) (* (- 1 a) (* a 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (- 1 a) (+ 1 (* 3 a)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* 4 (+ (* (* (* a a) (- (* 1 1) (* a a))) (+ 1 (* 3 a))) (* (- 1 a) (* (* b b) (- (* 1 1) (* (* 3 a) (* 3 a))))))))) (* (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (- 1 a) (* (- 1 a) (* a 3))))) 1)) * * * * [misc]progress: [ 36 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* 4 (+ (pow (* (* a a) (+ 1 a)) 3) (pow (* (* b b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (* 4 (* (+ a 1) (* a a))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (* (* 4 (pow (* b b) 3)) (pow (+ 1 (* a -3)) 3)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (* b b) (+ 1 (* a -3))) (- (* (* b b) (+ 1 (* a -3))) (* (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (* 4 (* (+ a 1) (* a a))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (* (* 4 (pow (* b b) 3)) (pow (+ 1 (* a -3)) 3)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (* b b) (+ 1 (* a -3))) (- (* (* b b) (+ 1 (* a -3))) (* (+ a 1) (* a a))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))) 1)) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (440 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* b b) (* a (* 2 a)))) (+ (- (pow a 4) (pow b 4)) (* (* b b) (* a (* 2 a))))) (* (pow b 4) (pow b 4))) (+ (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- (+ (* b b) (* (* a -3) (* b b))) (* (+ a 1) (* a a))) (+ (* b b) (* (* a -3) (* b b)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (* 4 (* (+ a 1) (* a a))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (* (* 4 (pow (* b b) 3)) (pow (+ 1 (* a -3)) 3)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (* b b) (+ 1 (* a -3))) (- (* (* b b) (+ 1 (* a -3))) (* (+ a 1) (* a a))))))) (* (+ (* (+ (pow a 4) (* (* b b) (* a (* 2 a)))) (+ (- (pow a 4) (pow b 4)) (* (* b b) (* a (* 2 a))))) (* (pow b 4) (pow b 4))) (+ (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- (+ (* b b) (* (* a -3) (* b b))) (* (+ a 1) (* a a))) (+ (* b b) (* (* a -3) (* b b))))))) 1)) * * * * [misc]progress: [ 37 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* 4 (- (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (- (* (+ a 1) (* a a)) (+ (* (* b b) (* a -3)) (* b b))))) (* (- (* (+ a 1) (* a a)) (+ (* (* b b) (* a -3)) (* b b))) (pow (pow b 4) 3))) (* (* (* 4 (- (* (+ a 1) (* a a)) (+ (* (* b b) (* a -3)) (* b b)))) (+ (* (+ a 1) (* a a)) (+ (* (* b b) (* a -3)) (* b b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (+ (* (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (- (* (+ a 1) (* a a)) (+ (* (* b b) (* a -3)) (* b b))))) (* (- (* (+ a 1) (* a a)) (+ (* (* b b) (* a -3)) (* b b))) (pow (pow b 4) 3))) (* (* (* 4 (- (* (+ a 1) (* a a)) (+ (* (* b b) (* a -3)) (* b b)))) (+ (* (+ a 1) (* a a)) (+ (* (* b b) (* a -3)) (* b b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (- (* (+ a 1) (* a a)) (+ (* b b) (* (* a -3) (* b b))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* 4 (- (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (- (* (+ a 1) (* a a)) (+ (* b b) (* (* a -3) (* b b)))))) 1)) * * * * [misc]progress: [ 38 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* (* a a) (+ (pow 1 3) (pow a 3))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (* (* b b) (- (pow 1 3) (pow (* 3 a) 3)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ (* a 3) 1) (* (* a 3) (* a 3))) (+ (* a a) (* (* a a) (pow a 3)))) (* (- 1 (* (* 27 a) (* a a))) (* (- (* a a) (- a 1)) (* b b)))) (* 4 (- (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (- (* a a) (- a 1)) (+ (+ (* a 3) 1) (* (* a 3) (* a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ (* a 3) 1) (* (* a 3) (* a 3))) (+ (* a a) (* (* a a) (pow a 3)))) (* (- 1 (* (* 27 a) (* a a))) (* (- (* a a) (- a 1)) (* b b)))) (* 4 (- (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (- (* a a) (- a 1)) (+ (+ (* a 3) 1) (* (* a 3) (* a 3)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))))) 1)) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (+ (* a a) (- 1 a)) (+ (* (* 9 a) a) (+ (* 3 a) 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ (* a 3) 1) (* (* a 3) (* a 3))) (+ (* a a) (* (* a a) (pow a 3)))) (* (- 1 (* (* 27 a) (* a a))) (* (- (* a a) (- a 1)) (* b b)))) (* 4 (- (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (- (* a a) (- a 1)) (+ (+ (* a 3) 1) (* (* a 3) (* a 3)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (+ (* a a) (- 1 a)) (+ (* (* 9 a) a) (+ (* 3 a) 1))))) 1)) * * * * [misc]progress: [ 39 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 1 (* 3 a)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* (* a a) (+ (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (* (* b b) (- (* 1 1) (* (* 3 a) (* 3 a))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* (+ 1 (pow a 3)) (* (* a a) (+ (* a 3) 1))) (* (* (- (* a a) (- a 1)) (* b b)) (- 1 (* (* a 9) a))))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* (+ 1 (pow a 3)) (* (* a a) (+ (* a 3) 1))) (* (* (- (* a a) (- a 1)) (* b b)) (- 1 (* (* a 9) a))))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 1 (* 3 a))))) 1)) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* (+ 1 (pow a 3)) (* (* a a) (+ (* a 3) 1))) (* (* (- (* a a) (- a 1)) (* b b)) (- 1 (* (* a 9) a))))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) 1)) * * * * [misc]progress: [ 40 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- 1 a) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* (* a a) (- (* 1 1) (* a a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (* b b) (- (pow 1 3) (pow (* 3 a) 3)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (- 1 (pow (* a 3) 3)) (* (- 1 a) (* b b))) (* (* (- 1 (* a a)) (* a a)) (+ (+ 1 (* a 3)) (* (* a 3) (* a 3)))))) (* (+ (* (* (- 1 a) (* a 3)) (+ 1 (* a 3))) (- 1 a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (- 1 (pow (* a 3) 3)) (* (- 1 a) (* b b))) (* (* (- 1 (* a a)) (* a a)) (+ (+ 1 (* a 3)) (* (* a 3) (* a 3)))))) (* (+ (* (* (- 1 a) (* a 3)) (+ 1 (* a 3))) (- 1 a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))))) 1)) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (- 1 a) (* (+ (* a 3) 1) (* (* a 3) (- 1 a))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (- 1 (pow (* a 3) 3)) (* (- 1 a) (* b b))) (* (* (- 1 (* a a)) (* a a)) (+ (+ 1 (* a 3)) (* (* a 3) (* a 3)))))) (* (+ (* (* (- 1 a) (* a 3)) (+ 1 (* a 3))) (- 1 a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (- 1 a) (* (+ (* a 3) 1) (* (* a 3) (- 1 a)))))) 1)) * * * * [misc]progress: [ 41 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* (* a a) (- (* 1 1) (* a a))) (+ 1 (* 3 a))) (* (- 1 a) (* (* b b) (- (* 1 1) (* (* 3 a) (* 3 a))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (417 enodes) * [exit]simplify: Simplified to (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a))))) 1)) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a b) (* a b)))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a b) (* a b)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) 1)) * * * * [misc]progress: [ 42 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (pow (* (* a a) (+ 1 a)) 3) (pow (* (* b b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (* a a) (+ 1 a))) (* (- 1 (* a 3)) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (pow (* (* a a) (+ 1 a)) 3) (pow (* (- 1 (* a 3)) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (* a a) (+ 1 a))) (* (- 1 (* a 3)) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (pow (* (* a a) (+ 1 a)) 3) (pow (* (- 1 (* a 3)) (* b b)) 3)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))) 1)) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (- (+ (* b b) (* (* -3 a) (* b b))) (* (+ a 1) (* a a))) (+ (* b b) (* (* -3 a) (* b b)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (* a a) (+ 1 a))) (* (- 1 (* a 3)) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (pow (* (* a a) (+ 1 a)) 3) (pow (* (- 1 (* a 3)) (* b b)) 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (- (+ (* b b) (* (* -3 a) (* b b))) (* (+ a 1) (* a a))) (+ (* b b) (* (* -3 a) (* b b)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))))) 1)) * * * * [misc]progress: [ 43 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (- (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (* a a) (+ 1 a)) (+ (* b b) (* (* b b) (* -3 a)))) (- (* (* a a) (+ 1 a)) (+ (* b b) (* (* b b) (* -3 a)))))) (* (- (* (* a a) (+ 1 a)) (+ (* b b) (* (* b b) (* -3 a)))) (* (+ (* (* a (* 2 a)) (* b b)) (+ (pow a 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (* a a) (+ 1 a)) (+ (* b b) (* (* b b) (* -3 a)))) (- (* (* a a) (+ 1 a)) (+ (* b b) (* (* b b) (* -3 a)))))) (* (- (* (* a a) (+ 1 a)) (+ (* b b) (* (* b b) (* -3 a)))) (* (+ (* (* a (* 2 a)) (* b b)) (+ (pow a 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (* (- (- (* (+ a 1) (* a a)) (* b b)) (* (* a -3) (* b b))) (- (* -2 (* (* a b) (* a b))) (- (pow a 4) (pow b 4)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (- (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) (* (- (- (* (+ a 1) (* a a)) (* b b)) (* (* a -3) (* b b))) (- (* -2 (* (* a b) (* a b))) (- (pow a 4) (pow b 4))))) 1)) * * * * [misc]progress: [ 44 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (* (* b b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (* b b) (+ (* a -12) 4)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (+ (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (* (* a a) (+ 1 a)))) (* (* b b) (+ (* a -12) 4))) 1)) * * * * [misc]progress: [ 48 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* b b) (- 1 (* 3 a))) 4) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (* (- 4 (* 12 a)) (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (+ (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (* a a) (+ 1 a)) 4)) (* (- 4 (* 12 a)) (* b b))) 1)) * * * * [misc]progress: [ 49 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (pow b 4) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow b 4) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (+ (pow b 4) (+ (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) 1)) * * * * [misc]progress: [ 50 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (* a a) (+ 1 a))) (exp (* (* b b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (* (pow (exp (* b b)) (+ 1 (* a -3))) (exp (* (+ a 1) (* a a)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (log (* (pow (exp (* b b)) (+ 1 (* a -3))) (exp (* (+ a 1) (* a a))))))) 1)) * * * * [misc]progress: [ 52 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (+ (pow 1 3) (pow a 3))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (* (* b b) (- (pow 1 3) (pow (* 3 a) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (* (* 27 a) (* a a))) (* (- (* a a) (- a 1)) (* b b))) (* (* (+ (pow a 4) a) a) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (/ (+ (* (- 1 (* (* 27 a) (* a a))) (* (- (* a a) (- a 1)) (* b b))) (* (* (+ (pow a 4) a) a) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))))) 1)) * [enter]simplify: Simplifying (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (- 1 a))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (/ (+ (* (- 1 (* (* 27 a) (* a a))) (* (- (* a a) (- a 1)) (* b b))) (* (* (+ (pow a 4) a) a) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (- 1 a)))))) 1)) * * * * [misc]progress: [ 59 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (+ (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (* (* b b) (- (* 1 1) (* (* 3 a) (* 3 a)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (- 1 a)) (* b b)) (- 1 (* a (* a 9)))) (* (+ a (pow a 4)) (+ (* a (* 3 a)) a))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (/ (+ (* (* (+ (* a a) (- 1 a)) (* b b)) (- 1 (* a (* a 9)))) (* (+ a (pow a 4)) (+ (* a (* 3 a)) a))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 1 (* 3 a)))))) 1)) * [enter]simplify: Simplifying (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 1 (* 3 a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (/ (+ (* (* (+ (* a a) (- 1 a)) (* b b)) (- 1 (* a (* a 9)))) (* (+ a (pow a 4)) (+ (* a (* 3 a)) a))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))) 1)) * * * * [misc]progress: [ 60 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (- (* 1 1) (* a a))) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (* b b) (- (pow 1 3) (pow (* 3 a) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (* b b)) (- 1 (pow (* a 3) 3))) (* (* (- 1 (* a a)) (* a a)) (+ (+ (* a 3) 1) (* a (* 9 a))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (/ (+ (* (* (- 1 a) (* b b)) (- 1 (pow (* a 3) 3))) (* (* (- 1 (* a a)) (* a a)) (+ (+ (* a 3) 1) (* a (* 9 a))))) (* (- 1 a) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))))) 1)) * [enter]simplify: Simplifying (* (- 1 a) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (+ (* (* (* a 3) (- 1 a)) (+ 1 (* a 3))) (- 1 a)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (/ (+ (* (* (- 1 a) (* b b)) (- 1 (pow (* a 3) 3))) (* (* (- 1 (* a a)) (* a a)) (+ (+ (* a 3) 1) (* a (* 9 a))))) (+ (* (* (* a 3) (- 1 a)) (+ 1 (* a 3))) (- 1 a))))) 1)) * * * * [misc]progress: [ 61 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (- (* 1 1) (* a a))) (+ 1 (* 3 a))) (* (- 1 a) (* (* b b) (- (* 1 1) (* (* 3 a) (* 3 a)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 (* a a)) a) (+ a (* 3 (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (/ (+ (* (* (- 1 (* a a)) a) (+ a (* 3 (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9))))) (* (- 1 a) (+ 1 (* 3 a)))))) 1)) * [enter]simplify: Simplifying (* (- 1 a) (+ 1 (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (* (- 1 a) (+ 1 (* 3 a))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (/ (+ (* (* (- 1 (* a a)) a) (+ a (* 3 (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9))))) (* (- 1 a) (+ 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 62 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (- (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (* a b) (* b -3)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (+ (* (* a a) (+ 1 a)) (* (* b b) 1)) (* (* a b) (* b -3))))) 1)) * * * * [misc]progress: [ 66 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (- (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (* a b) (* b -3)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (+ (* (* a a) (+ 1 a)) (* (* b b) 1)) (* (* a b) (* b -3))))) 1)) * * * * [misc]progress: [ 67 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 3 a)) (* b b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (* -3 a) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (+ (* (* a a) (+ 1 a)) (* 1 (* b b))) (* (* -3 a) (* b b))))) 1)) * * * * [misc]progress: [ 68 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 3 a)) (* b b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (* -3 a) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (+ (* (* a a) (+ 1 a)) (* 1 (* b b))) (* (* -3 a) (* b b))))) 1)) * * * * [misc]progress: [ 69 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a a) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* a a) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* a a) (+ (* (* a a) a) (* (* b b) (- 1 (* 3 a))))))) 1)) * * * * [misc]progress: [ 70 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (* a a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* a a) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* a a) (+ (* a (* a a)) (* (* b b) (- 1 (* 3 a))))))) 1)) * * * * [misc]progress: [ 71 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (- 1 (* 3 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (* (+ (* a -3) 1) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (pow (* (+ (* a -3) 1) (* b b)) 1)))) 1)) * * * * [misc]progress: [ 73 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* b b)) (log (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (+ (log (- 1 (* 3 a))) (log (* b b))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (exp (+ (log (- 1 (* 3 a))) (log (* b b))))))) 1)) * * * * [misc]progress: [ 75 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* b b) (* b b)) (* b b)) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (* (* (+ (* a -3) 1) (* (pow b 3) (pow b 3))) (* (+ (* a -3) 1) (+ (* a -3) 1))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (cbrt (* (* (+ (* a -3) 1) (* (pow b 3) (pow b 3))) (* (+ (* a -3) 1) (+ (* a -3) 1))))))) 1)) * * * * [misc]progress: [ 78 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (- (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (* a b) (* b -3)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (+ (* (* b b) 1) (* (* a b) (* b -3)))))) 1)) * * * * [misc]progress: [ 83 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (- (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (* a b) (* b -3)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (+ (* (* b b) 1) (* (* a b) (* b -3)))))) 1)) * * * * [misc]progress: [ 84 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 3 a)) (* b b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (* -3 a) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (+ (* 1 (* b b)) (* (* -3 a) (* b b)))))) 1)) * * * * [misc]progress: [ 85 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 3 a)) (* b b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (* -3 a) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (+ (* 1 (* b b)) (* (* -3 a) (* b b)))))) 1)) * * * * [misc]progress: [ 86 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* 3 a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (* a -3))) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (* b b) (* (cbrt (- 1 (* 3 a))) (cbrt (- 1 (* 3 a))))) (cbrt (+ 1 (* a -3))))))) 1)) * * * * [misc]progress: [ 87 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* 3 a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* a -3))) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (* b b) (sqrt (- 1 (* 3 a)))) (sqrt (+ 1 (* a -3))))))) 1)) * * * * [misc]progress: [ 88 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* 3 a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (+ 1 (* -3 a)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (* b b) 1) (+ 1 (* -3 a)))))) 1)) * * * * [misc]progress: [ 89 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (+ (* (* 9 a) a) (+ 1 (* 3 a))) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (/ (* (* b b) (- (pow 1 3) (pow (* 3 a) 3))) (+ (* (* 9 a) a) (+ 1 (* 3 a))))))) 1)) * * * * [misc]progress: [ 91 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* 3 a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (* a 3) 1) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (/ (* (* b b) (- (* 1 1) (* (* 3 a) (* 3 a)))) (+ (* a 3) 1))))) 1)) * * * * [misc]progress: [ 92 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 94 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 95 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)) * * * * [misc]progress: [ 96 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (pow a 2)) (* 4 (pow b 2))) (* 12 (* a (pow b 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (+ (* (+ 4 (* a -12)) (* b b)) (* (* a a) 4)) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (+ (* (+ 4 (* a -12)) (* b b)) (* (* a a) 4)) 1)) * * * * [misc]progress: [ 97 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 1)) * * * * [misc]progress: [ 98 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 1)) * * * * [misc]progress: [ 99 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow a 2) (+ (pow b 2) (pow a 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (+ (* (+ 1 a) (* a a)) (* b b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (+ 1 a) (* a a)) (* b b)))) 1)) * * * * [misc]progress: [ 100 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 2) (pow a 3)) (* 3 (* a (pow b 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (- (+ (pow a 3) (* b b)) (* (* b b) (* a 3))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (- (+ (pow a 3) (* b b)) (* (* b b) (* a 3))))) 1)) * * * * [misc]progress: [ 101 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 2) (pow a 3)) (* 3 (* a (pow b 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (- (+ (pow a 3) (* b b)) (* (* b b) (* a 3))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (- (+ (pow a 3) (* b b)) (* (* b b) (* a 3))))) 1)) * * * * [misc]progress: [ 102 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 2) (* 3 (* a (pow b 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (+ 1 (* -3 a)) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (+ 1 (* -3 a)) (* b b))))) 1)) * * * * [misc]progress: [ 103 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 2) (* 3 (* a (pow b 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (+ 1 (* -3 a)) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (+ 1 (* -3 a)) (* b b))))) 1)) * * * * [misc]progress: [ 104 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 2) (* 3 (* a (pow b 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (+ 1 (* -3 a)) (* b b)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* 4 (+ (* (* a a) (+ 1 a)) (* (+ 1 (* -3 a)) (* b b))))) 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 a) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) in b * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 a) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 a)) (- 1 a)) in b * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))) in b * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) in b * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) in b * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 a) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 a) a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 a) a) in b * [misc]taylor: Taking taylor expansion of (* 9 a) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* (* a a) (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* a a) (* 3 a)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (* a a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (- 1 a) (+ 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (* a (* 2 a)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow a 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 4))) into (- (pow a 4)) * [misc]backup-simplify: Simplify (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (* a (* 2 a)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow a 2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (pow a 4)) 0) into (- (pow a 4)) * [misc]backup-simplify: Simplify (* 3 a) into (* 3 a) * [misc]backup-simplify: Simplify (+ 1 (* 3 a)) into (+ (* 3 a) 1) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 1 (- a)) into (- 1 a) * [misc]backup-simplify: Simplify (* (+ (* 3 a) 1) (- 1 a)) into (* (+ (* 3 a) 1) (- 1 a)) * [misc]backup-simplify: Simplify (* (- (pow a 4)) (* (+ (* 3 a) 1) (- 1 a))) into (* -1 (* (pow a 4) (* (+ (* 3 a) 1) (- 1 a)))) * [misc]backup-simplify: Simplify (* (pow a 4) (* -1 (* (pow a 4) (* (+ (* 3 a) 1) (- 1 a))))) into (* -1 (* (pow a 8) (* (+ (* 3 a) 1) (- 1 a)))) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 4))) into (- (pow a 4)) * [misc]backup-simplify: Simplify (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (* a (* 2 a)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow a 2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (pow a 4)) 0) into (- (pow a 4)) * [misc]backup-simplify: Simplify (* (- (pow a 4)) 4) into (* -4 (pow a 4)) * [misc]backup-simplify: Simplify (* 9 a) into (* 9 a) * [misc]backup-simplify: Simplify (* (* 9 a) a) into (* 9 (pow a 2)) * [misc]backup-simplify: Simplify (- (* 9 (pow a 2))) into (- (* 9 (pow a 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 9 (pow a 2)))) into (- 1 (* 9 (pow a 2))) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 1 (- a)) into (- 1 a) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (- 1 a) 0) into 0 * [misc]backup-simplify: Simplify (* (- 1 (* 9 (pow a 2))) 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 3 a) into (* 3 a) * [misc]backup-simplify: Simplify (* (pow a 2) (* 3 a)) into (* 3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (pow a 2) (* 3 (pow a 3))) into (+ (pow a 2) (* 3 (pow a 3))) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (- (pow a 2)) into (- (pow a 2)) * [misc]backup-simplify: Simplify (+ 1 (- (pow a 2))) into (- 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (+ (pow a 2) (* 3 (pow a 3))) (- 1 (pow a 2))) into (* (- 1 (pow a 2)) (+ (pow a 2) (* 3 (pow a 3)))) * [misc]backup-simplify: Simplify (+ 0 (* (- 1 (pow a 2)) (+ (pow a 2) (* 3 (pow a 3))))) into (- (+ (pow a 2) (* 3 (pow a 3))) (+ (pow a 4) (* 3 (pow a 5)))) * [misc]backup-simplify: Simplify (* (* -4 (pow a 4)) (- (+ (pow a 2) (* 3 (pow a 3))) (+ (pow a 4) (* 3 (pow a 5))))) into (* -4 (* (pow a 4) (- (+ (pow a 2) (* 3 (pow a 3))) (+ (pow a 4) (* 3 (pow a 5)))))) * [misc]backup-simplify: Simplify (+ (* -1 (* (pow a 8) (* (+ (* 3 a) 1) (- 1 a)))) (* -4 (* (pow a 4) (- (+ (pow a 2) (* 3 (pow a 3))) (+ (pow a 4) (* 3 (pow a 5))))))) into (- (+ (* 3 (pow a 8)) (+ (* 10 (pow a 9)) (* 3 (pow a 10)))) (+ (* 4 (pow a 6)) (* 12 (pow a 7)))) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 4))) into (- (pow a 4)) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 1 (- a)) into (- 1 a) * [misc]backup-simplify: Simplify (* 3 a) into (* 3 a) * [misc]backup-simplify: Simplify (+ 1 (* 3 a)) into (+ (* 3 a) 1) * [misc]backup-simplify: Simplify (* (- 1 a) (+ (* 3 a) 1)) into (* (+ (* 3 a) 1) (- 1 a)) * [misc]backup-simplify: Simplify (* (- (pow a 4)) (* (+ (* 3 a) 1) (- 1 a))) into (* -1 (* (pow a 4) (* (+ (* 3 a) 1) (- 1 a)))) * [misc]backup-simplify: Simplify (/ (- (+ (* 3 (pow a 8)) (+ (* 10 (pow a 9)) (* 3 (pow a 10)))) (+ (* 4 (pow a 6)) (* 12 (pow a 7)))) (* -1 (* (pow a 4) (* (+ (* 3 a) 1) (- 1 a))))) into (* -1 (/ (- (+ (* 3 (pow a 8)) (+ (* 10 (pow a 9)) (* 3 (pow a 10)))) (+ (* 4 (pow a 6)) (* 12 (pow a 7)))) (* (pow a 4) (* (+ (* 3 a) 1) (- 1 a))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 a)) (- 1 a)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) in a * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 a) a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 a) a) in a * [misc]taylor: Taking taylor expansion of (* 9 a) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* (* a a) (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a a) (* 3 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* a a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (+ 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 (pow b 2)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 (pow b 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow b 4) 1) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 4)) into (pow b 8) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 (pow b 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) 4) into (* 4 (pow b 4)) * [misc]backup-simplify: Simplify (* 9 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (* (* 4 (pow b 4)) (pow b 2)) into (* 4 (pow b 6)) * [misc]backup-simplify: Simplify (+ (pow b 8) (* 4 (pow b 6))) into (+ (* 4 (pow b 6)) (pow b 8)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow b 4) 1) into (pow b 4) * [misc]backup-simplify: Simplify (/ (+ (* 4 (pow b 6)) (pow b 8)) (pow b 4)) into (/ (+ (* 4 (pow b 6)) (pow b 8)) (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 a)) (- 1 a)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) in a * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 a) a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 a) a) in a * [misc]taylor: Taking taylor expansion of (* 9 a) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* (* a a) (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a a) (* 3 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* a a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (+ 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 (pow b 2)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 (pow b 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow b 4) 1) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 4)) into (pow b 8) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 (pow b 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) 4) into (* 4 (pow b 4)) * [misc]backup-simplify: Simplify (* 9 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (* (* 4 (pow b 4)) (pow b 2)) into (* 4 (pow b 6)) * [misc]backup-simplify: Simplify (+ (pow b 8) (* 4 (pow b 6))) into (+ (* 4 (pow b 6)) (pow b 8)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow b 4) 1) into (pow b 4) * [misc]backup-simplify: Simplify (/ (+ (* 4 (pow b 6)) (pow b 8)) (pow b 4)) into (/ (+ (* 4 (pow b 6)) (pow b 8)) (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ (+ (* 4 (pow b 6)) (pow b 8)) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow b 6)) (pow b 8)) in b * [misc]taylor: Taking taylor expansion of (* 4 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 -1) (* 3 1)) into 2 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 2) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 2) (* 0 1)) into (* 2 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 2) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) (* 2 (pow b 4))) (* 0 (pow b 4))) into (* 2 (pow b 8)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 (pow b 2))) into (- (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 9 1) (* 0 0)) into 9 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 9 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (pow b 2))) (* 0 (pow b 2))) into (- (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 3) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (- (pow b 2)) 0) into (- (pow b 2)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 2) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (pow b 4)) (- (pow b 2))) (* 0 (pow b 2))) into (- (* 4 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* 2 (pow b 8)) (- (* 4 (pow b 6)))) into (- (* 2 (pow b 8)) (* 4 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 3) (* -1 1)) into 2 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 2) (* 0 1)) into (* 2 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ (- (* 2 (pow b 8)) (* 4 (pow b 6))) (pow b 4)) (+ (* (/ (+ (* 4 (pow b 6)) (pow b 8)) (pow b 4)) (/ (* 2 (pow b 4)) (pow b 4))))) into (- (* 12 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (* 12 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 -1) (* 0 1))) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 2) (* 0 0))) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 2 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (pow b 4) -3) (+ (* 0 2) (* (- (* 2 (pow b 2))) 1))) into (- (+ (* 3 (pow b 4)) (* 2 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 2) (* 0 0))) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 2 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (pow b 4) (- (+ (* 3 (pow b 4)) (* 2 (pow b 2))))) (+ (* 0 (* 2 (pow b 4))) (* (* 2 (pow b 2)) (pow b 4)))) into (- (* 3 (pow b 8))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 9 1) (* 0 0))) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (pow b 2))) (* -9 (pow b 2)))) into (- (* 9 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 3) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 -1) (+ (* 0 0) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (- (* 9 (pow b 2))) 1) into (- 1 (* 9 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 2) (* 0 0))) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 2 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 0) (* (- (* 2 (pow b 2))) 4))) into (- (* 8 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (* 4 (pow b 4)) (- 1 (* 9 (pow b 2)))) (+ (* 0 (- (pow b 2))) (* (- (* 8 (pow b 2))) (pow b 2)))) into (- (+ (* 4 (pow b 4)) (* 36 (pow b 6)))) * [misc]backup-simplify: Simplify (+ (- (* 3 (pow b 8))) (- (+ (* 4 (pow b 4)) (* 36 (pow b 6))))) into (- (+ (* 4 (pow b 4)) (+ (* 36 (pow b 6)) (* 3 (pow b 8))))) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 3) (* 0 1))) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 2 (pow b 2)) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 2 (pow b 2)) 0) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (pow b 4) -3) (+ (* 0 2) (* (- (* 2 (pow b 2))) 1))) into (- (+ (* 3 (pow b 4)) (* 2 (pow b 2)))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 4 (pow b 4)) (+ (* 36 (pow b 6)) (* 3 (pow b 8))))) (pow b 4)) (+ (* (/ (+ (* 4 (pow b 6)) (pow b 8)) (pow b 4)) (/ (- (+ (* 3 (pow b 4)) (* 2 (pow b 2)))) (pow b 4))) (* (- (* 12 (pow b 2))) (/ (* 2 (pow b 4)) (pow b 4))))) into (+ (* 2 (pow b 2)) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow b 2)) 4) in b * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 -1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 2) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 -3) (+ (* (- (* 2 (pow b 2))) 2) (* 0 1)))) into (- (* 4 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 2) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) (- (* 4 (pow b 2)))) (+ (* 0 (- (+ (* 3 (pow b 4)) (* 2 (pow b 2))))) (+ (* (* 2 (pow b 2)) (* 2 (pow b 4))) (* 0 (pow b 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 9 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -9 (- (pow b 2))) (* 0 (pow b 2))))) into (* 9 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 3) (* 0 0)))) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 -1) (+ (* 1 0) (* 3 1)))) into 3 * [misc]backup-simplify: Simplify (+ (* 9 (pow b 2)) 3) into (+ (* 9 (pow b 2)) 3) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 2) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 0) (+ (* (- (* 2 (pow b 2))) 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (pow b 4)) (+ (* 9 (pow b 2)) 3)) (+ (* 0 (- 1 (* 9 (pow b 2)))) (+ (* (- (* 8 (pow b 2))) (- (pow b 2))) (* 0 (pow b 2))))) into (+ (* 20 (pow b 4)) (* 36 (pow b 6))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 20 (pow b 4)) (* 36 (pow b 6)))) into (+ (* 20 (pow b 4)) (* 36 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 -3) (+ (* (- (* 2 (pow b 2))) 2) (* 0 1)))) into (- (* 4 (pow b 2))) * [misc]backup-simplify: Simplify (- (/ (+ (* 20 (pow b 4)) (* 36 (pow b 6))) (pow b 4)) (+ (* (/ (+ (* 4 (pow b 6)) (pow b 8)) (pow b 4)) (/ (- (* 4 (pow b 2))) (pow b 4))) (* (- (* 12 (pow b 2))) (/ (- (+ (* 3 (pow b 4)) (* 2 (pow b 2)))) (pow b 4))) (* (+ (* 2 (pow b 2)) 4) (/ (* 2 (pow b 4)) (pow b 4))))) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (pow (* 1 a) 3)) (+ (* 4 (pow (* b 1) 2)) (* 4 (pow (* 1 a) 2)))) into (+ (* 4 (pow a 2)) (+ (* 4 (pow b 2)) (* 4 (pow a 3)))) * [misc]approximate: Taking taylor expansion of (/ (+ (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))))) (* (- (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (* (- 1 (/ 1 a)) (+ 1 (* 3 (/ 1 a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))))) (* (- (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (* (- 1 (/ 1 a)) (+ 1 (* 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) in b * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 a)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (- (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (* (- 1 (/ 1 a)) (+ 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (+ 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 3 (/ 1 a)) into (/ 3 a) * [misc]backup-simplify: Simplify (+ 1 (/ 3 a)) into (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 a))) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (* (+ (* 3 (/ 1 a)) 1) (- 1 (/ 1 a))) into (* (+ (* 3 (/ 1 a)) 1) (- 1 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (* (+ (* 3 (/ 1 a)) 1) (- 1 (/ 1 a)))) into (* (+ (* 3 (/ 1 a)) 1) (- 1 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (* (+ (* 3 (/ 1 a)) 1) (- 1 (/ 1 a)))) into (* (+ (* 3 (/ 1 a)) 1) (- 1 (/ 1 a))) * [misc]backup-simplify: Simplify (+ (* (+ (* 3 (/ 1 a)) 1) (- 1 (/ 1 a))) 0) into (- (+ (* 2 (/ 1 a)) 1) (* 3 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 a))) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (* 3 (/ 1 a)) into (/ 3 a) * [misc]backup-simplify: Simplify (+ 1 (/ 3 a)) into (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* (- 1 (/ 1 a)) (+ (* 3 (/ 1 a)) 1)) into (* (+ (* 3 (/ 1 a)) 1) (- 1 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (* (+ (* 3 (/ 1 a)) 1) (- 1 (/ 1 a)))) into (* (+ (* 3 (/ 1 a)) 1) (- 1 (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- (+ (* 2 (/ 1 a)) 1) (* 3 (/ 1 (pow a 2)))) (* (+ (* 3 (/ 1 a)) 1) (- 1 (/ 1 a)))) into (/ (- (+ (* 2 (/ 1 a)) 1) (* 3 (/ 1 (pow a 2)))) (* (+ (* 3 (/ 1 a)) 1) (- 1 (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))))) (* (- (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (* (- 1 (/ 1 a)) (+ 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 a)) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (* (- 1 (/ 1 a)) (+ 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (+ 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (* -1 -3) into 3 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -1 -3) into 3 * [misc]backup-simplify: Simplify (/ 3 3) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))))) (* (- (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (* (- 1 (/ 1 a)) (+ 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 a)) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (* (- 1 (/ 1 a)) (+ 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (+ 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (* -1 -3) into 3 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -1 -3) into 3 * [misc]backup-simplify: Simplify (/ 3 3) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 1 -1)) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 2) (* 0 -3)) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -2) (* 0 3)) into -2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* -4 -3) into 12 * [misc]backup-simplify: Simplify (+ -2 12) into 10 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 1 3)) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 2) (* 0 -3)) into -2 * [misc]backup-simplify: Simplify (- (/ 10 3) (+ (* 1 (/ -2 3)))) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 1) (* 0 -1))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow b 2))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 2) (* (- (* 2 (/ 1 (pow b 2)))) -3))) into (- (* 6 (/ 1 (pow b 2))) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 -2) (* (* 2 (/ 1 (pow b 2))) 3))) into (- (* 12 (/ 1 (pow b 2))) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (+ (* -4 -1) (* 0 -3)) into 4 * [misc]backup-simplify: Simplify (+ (- (* 12 (/ 1 (pow b 2))) 1) 4) into (+ 3 (* 12 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 3))) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 2) (* (- (* 2 (/ 1 (pow b 2)))) -3))) into (- (* 6 (/ 1 (pow b 2))) 1) * [misc]backup-simplify: Simplify (- (/ (+ 3 (* 12 (/ 1 (pow b 2)))) 3) (+ (* 1 (/ (- (* 6 (/ 1 (pow b 2))) 1) 3)) (* 4 (/ -2 3)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* (- (* 2 (/ 1 (pow b 2)))) 2) (* 0 -3)))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 4 (/ 1 (pow b 2))))) (+ (* 0 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* (* 2 (/ 1 (pow b 2))) -2) (* 0 3)))) into (- (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (* -9 (/ -1 (pow b 2))) into (/ 9 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 1 0) (* 0 -1))) into 3 * [misc]backup-simplify: Simplify (+ (/ 9 (pow b 2)) 3) into (+ 3 (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow b 2))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* (- (* 2 (/ 1 (pow b 2)))) 4))) into (- (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -4 (+ 3 (* 9 (/ 1 (pow b 2))))) (+ (* 0 -1) (* (- (* 8 (/ 1 (pow b 2)))) -3))) into (- (+ 12 (* 12 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (+ (- (* 8 (/ 1 (pow b 2)))) (- (+ 12 (* 12 (/ 1 (pow b 2)))))) into (- (+ 12 (* 20 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 1) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* (- (* 2 (/ 1 (pow b 2)))) 2) (* 0 -3)))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (/ (- (+ 12 (* 20 (/ 1 (pow b 2))))) 3) (+ (* 1 (/ (- (* 4 (/ 1 (pow b 2)))) 3)) (* 4 (/ (- (* 6 (/ 1 (pow b 2))) 1) 3)) (* (+ 4 (* 2 (/ 1 (pow b 2)))) (/ -2 3)))) into (- (* 12 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 1) (+ (* 0 2) (* (/ 1 (pow b 4)) -3))))) into (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ (* 0 (- (* 4 (/ 1 (pow b 2))))) (+ (* (* 2 (/ 1 (pow b 2))) (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 -2) (* (/ 1 (pow b 4)) 3))))) into (- (* 12 (/ 1 (pow b 4))) (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 (/ 1 (pow b 2)))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 (/ 1 (pow b 2))) (* 0 (/ -1 (pow b 2)))) into (- (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 1) (+ (* 0 0) (* 0 -1)))) into 1 * [misc]backup-simplify: Simplify (+ (- (* 9 (/ 1 (pow b 2)))) 1) into (- 1 (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* -4 (- 1 (* 9 (/ 1 (pow b 2))))) (+ (* 0 (+ 3 (* 9 (/ 1 (pow b 2))))) (+ (* (- (* 8 (/ 1 (pow b 2)))) -1) (* 0 -3)))) into (- (* 44 (/ 1 (pow b 2))) 4) * [misc]backup-simplify: Simplify (+ (- (* 12 (/ 1 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (- (* 44 (/ 1 (pow b 2))) 4)) into (- (+ (* 12 (/ 1 (pow b 4))) (* 40 (/ 1 (pow b 2)))) 4) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 1) (+ (* 0 2) (* (/ 1 (pow b 4)) -3))))) into (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 12 (/ 1 (pow b 4))) (* 40 (/ 1 (pow b 2)))) 4) 3) (+ (* 1 (/ (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2))))) 3)) (* 4 (/ (- (* 4 (/ 1 (pow b 2)))) 3)) (* (+ 4 (* 2 (/ 1 (pow b 2)))) (/ (- (* 6 (/ 1 (pow b 2))) 1) 3)) (* (- (* 12 (/ 1 (pow b 2)))) (/ -2 3)))) into (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (/ (+ (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))))) (* (- (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (* (- 1 (/ 1 (- a))) (+ 1 (* 3 (/ 1 (- a))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))))) (* (- (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (* (- 1 (/ 1 (- a))) (+ 1 (* 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) in b * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 (- a))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (- (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (* (- 1 (/ 1 (- a))) (+ 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (+ 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 3 (/ -1 a)) into (/ -3 a) * [misc]backup-simplify: Simplify (+ 1 (/ -3 a)) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 (/ 1 a)) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (* (- 1 (* 3 (/ 1 a))) (+ (/ 1 a) 1)) into (* (- 1 (* 3 (/ 1 a))) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (* 1 (* (- 1 (* 3 (/ 1 a))) (+ (/ 1 a) 1))) into (* (- 1 (* 3 (/ 1 a))) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (* 1 (* (- 1 (* 3 (/ 1 a))) (+ (/ 1 a) 1))) into (* (- 1 (* 3 (/ 1 a))) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (+ (* (- 1 (* 3 (/ 1 a))) (+ (/ 1 a) 1)) 0) into (- 1 (+ (* 2 (/ 1 a)) (* 3 (/ 1 (pow a 2))))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 (/ 1 a)) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (* 3 (/ -1 a)) into (/ -3 a) * [misc]backup-simplify: Simplify (+ 1 (/ -3 a)) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (+ (/ 1 a) 1) (- 1 (* 3 (/ 1 a)))) into (* (- 1 (* 3 (/ 1 a))) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (* 1 (* (- 1 (* 3 (/ 1 a))) (+ (/ 1 a) 1))) into (* (- 1 (* 3 (/ 1 a))) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (/ (- 1 (+ (* 2 (/ 1 a)) (* 3 (/ 1 (pow a 2))))) (* (- 1 (* 3 (/ 1 a))) (+ (/ 1 a) 1))) into (/ (- 1 (+ (* 2 (/ 1 a)) (* 3 (/ 1 (pow a 2))))) (* (- 1 (* 3 (/ 1 a))) (+ (/ 1 a) 1))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))))) (* (- (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (* (- 1 (/ 1 (- a))) (+ 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 (- a))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (* (- 1 (/ 1 (- a))) (+ 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (+ 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -3 1) into -3 * [misc]backup-simplify: Simplify (* -1 -3) into 3 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 1 -3) into -3 * [misc]backup-simplify: Simplify (* -1 -3) into 3 * [misc]backup-simplify: Simplify (/ 3 3) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))))) (* (- (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (* (- 1 (/ 1 (- a))) (+ 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 (- a))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (* (- 1 (/ 1 (- a))) (+ 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (+ 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -3 1) into -3 * [misc]backup-simplify: Simplify (* -1 -3) into 3 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 1 -3) into -3 * [misc]backup-simplify: Simplify (* -1 -3) into 3 * [misc]backup-simplify: Simplify (/ 3 3) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -3 1) (* 1 1)) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 -2) (* 0 -3)) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 2) (* 0 3)) into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (* 1 -3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* -4 3) into -12 * [misc]backup-simplify: Simplify (+ 2 -12) into -10 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 -3)) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 -2) (* 0 -3)) into 2 * [misc]backup-simplify: Simplify (- (/ -10 3) (+ (* 1 (/ 2 3)))) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 1) (* 0 1))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow b 2))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -2) (* (- (* 2 (/ 1 (pow b 2)))) -3))) into (- (* 6 (/ 1 (pow b 2))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 2) (* (* 2 (/ 1 (pow b 2))) 3))) into (- (* 12 (/ 1 (pow b 2))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (+ (* -4 -1) (* 0 3)) into 4 * [misc]backup-simplify: Simplify (+ (- (* 12 (/ 1 (pow b 2))) 1) 4) into (+ 3 (* 12 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -3))) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -2) (* (- (* 2 (/ 1 (pow b 2)))) -3))) into (- (* 6 (/ 1 (pow b 2))) 1) * [misc]backup-simplify: Simplify (- (/ (+ 3 (* 12 (/ 1 (pow b 2)))) 3) (+ (* 1 (/ (- (* 6 (/ 1 (pow b 2))) 1) 3)) (* -4 (/ 2 3)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* (- (* 2 (/ 1 (pow b 2)))) -2) (* 0 -3)))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 4 (/ 1 (pow b 2)))) (+ (* 0 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* (* 2 (/ 1 (pow b 2))) 2) (* 0 3)))) into (* 8 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (* 9 -1) into -9 * [misc]backup-simplify: Simplify (* -9 -1) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -9 (/ 1 (pow b 2))) into (/ -9 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 1) (+ (* 1 0) (* 0 -1))) into -3 * [misc]backup-simplify: Simplify (+ (/ -9 (pow b 2)) -3) into (- (+ 3 (* 9 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow b 2))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* (- (* 2 (/ 1 (pow b 2)))) 4))) into (- (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -4 (- (+ 3 (* 9 (/ 1 (pow b 2)))))) (+ (* 0 -1) (* (- (* 8 (/ 1 (pow b 2)))) 3))) into (+ 12 (* 12 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* 8 (/ 1 (pow b 2))) (+ 12 (* 12 (/ 1 (pow b 2))))) into (+ 12 (* 20 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* (- (* 2 (/ 1 (pow b 2)))) -2) (* 0 -3)))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (/ (+ 12 (* 20 (/ 1 (pow b 2)))) 3) (+ (* 1 (/ (* 4 (/ 1 (pow b 2))) 3)) (* -4 (/ (- (* 6 (/ 1 (pow b 2))) 1) 3)) (* (+ 4 (* 2 (/ 1 (pow b 2)))) (/ 2 3)))) into (* 12 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 1) (+ (* 0 -2) (* (/ 1 (pow b 4)) -3))))) into (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ (* 0 (* 4 (/ 1 (pow b 2)))) (+ (* (* 2 (/ 1 (pow b 2))) (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 2) (* (/ 1 (pow b 4)) 3))))) into (- (* 12 (/ 1 (pow b 4))) (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 (/ 1 (pow b 2)))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -9 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 (/ 1 (pow b 2))) (* 0 (/ 1 (pow b 2)))) into (- (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 1) (+ (* 0 0) (* 0 -1)))) into 1 * [misc]backup-simplify: Simplify (+ (- (* 9 (/ 1 (pow b 2)))) 1) into (- 1 (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* -4 (- 1 (* 9 (/ 1 (pow b 2))))) (+ (* 0 (- (+ 3 (* 9 (/ 1 (pow b 2)))))) (+ (* (- (* 8 (/ 1 (pow b 2)))) -1) (* 0 3)))) into (- (* 44 (/ 1 (pow b 2))) 4) * [misc]backup-simplify: Simplify (+ (- (* 12 (/ 1 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (- (* 44 (/ 1 (pow b 2))) 4)) into (- (+ (* 12 (/ 1 (pow b 4))) (* 40 (/ 1 (pow b 2)))) 4) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 1) (+ (* 0 -2) (* (/ 1 (pow b 4)) -3))))) into (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 12 (/ 1 (pow b 4))) (* 40 (/ 1 (pow b 2)))) 4) 3) (+ (* 1 (/ (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2))))) 3)) (* -4 (/ (* 4 (/ 1 (pow b 2))) 3)) (* (+ 4 (* 2 (/ 1 (pow b 2)))) (/ (- (* 6 (/ 1 (pow b 2))) 1) 3)) (* (* 12 (/ 1 (pow b 2))) (/ 2 3)))) into (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 a) a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 a) a) in b * [misc]taylor: Taking taylor expansion of (* 9 a) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* (* a a) (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* a a) (* 3 a)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (* a a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 a) a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 a) a) in a * [misc]taylor: Taking taylor expansion of (* 9 a) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* (* a a) (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a a) (* 3 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* a a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 a) a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 a) a) in a * [misc]taylor: Taking taylor expansion of (* 9 a) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* (* a a) (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a a) (* 3 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* a a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 9 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 (pow b 2))) into (- (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 9 1) (* 0 0)) into 9 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 9 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (pow b 2))) (* 0 (pow b 2))) into (- (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 3) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (- (pow b 2)) 0) into (- (pow b 2)) * [misc]taylor: Taking taylor expansion of (- (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 9 1) (* 0 0))) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (pow b 2))) (* -9 (pow b 2)))) into (- (* 9 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 3) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 -1) (+ (* 0 0) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (- (* 9 (pow b 2))) 1) into (- 1 (* 9 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- 1 (* 9 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 9 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 9 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -9 (- (pow b 2))) (* 0 (pow b 2))))) into (* 9 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 3) (* 0 0)))) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 -1) (+ (* 1 0) (* 3 1)))) into 3 * [misc]backup-simplify: Simplify (+ (* 9 (pow b 2)) 3) into (+ (* 9 (pow b 2)) 3) * [misc]taylor: Taking taylor expansion of (+ (* 9 (pow b 2)) 3) in b * [misc]taylor: Taking taylor expansion of (* 9 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* 1 a) 3)) (+ (* 1 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2)))) into (+ (pow a 2) (+ (pow b 2) (* 3 (pow a 3)))) * [misc]approximate: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 a)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 a)) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 a)) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]taylor: Taking taylor expansion of -3 in b * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (* -9 (/ -1 (pow b 2))) into (/ 9 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 1 0) (* 0 -1))) into 3 * [misc]backup-simplify: Simplify (+ (/ 9 (pow b 2)) 3) into (+ 3 (* 9 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 3 (* 9 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (+ 0 9) into 9 * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 (/ 1 (pow b 2)))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 (/ 1 (pow b 2))) (* 0 (/ -1 (pow b 2)))) into (- (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 1) (+ (* 0 0) (* 0 -1)))) into 1 * [misc]backup-simplify: Simplify (+ (- (* 9 (/ 1 (pow b 2)))) 1) into (- 1 (* 9 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- 1 (* 9 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify -9 into -9 * [misc]backup-simplify: Simplify (+ (* -9 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (+ (* -3 (pow (* 1 (/ 1 (/ 1 a))) 5)) (* 9 (* (pow (/ 1 b) -2) (pow (/ 1 a) -3))))) into (- (* 9 (* (pow a 3) (pow b 2))) (+ (* 3 (pow a 5)) (* 9 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 (- a))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 (- a))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 (- a))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (* 1 -3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* 9 -1) into -9 * [misc]backup-simplify: Simplify (* -9 -1) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -9 (/ 1 (pow b 2))) into (/ -9 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 1) (+ (* 1 0) (* 0 -1))) into -3 * [misc]backup-simplify: Simplify (+ (/ -9 (pow b 2)) -3) into (- (+ 3 (* 9 (/ 1 (pow b 2))))) * [misc]taylor: Taking taylor expansion of (- (+ 3 (* 9 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (+ 3 (* 9 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (+ 0 9) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify -9 into -9 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 (/ 1 (pow b 2)))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -9 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 (/ 1 (pow b 2))) (* 0 (/ 1 (pow b 2)))) into (- (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 1) (+ (* 0 0) (* 0 -1)))) into 1 * [misc]backup-simplify: Simplify (+ (- (* 9 (/ 1 (pow b 2)))) 1) into (- 1 (* 9 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- 1 (* 9 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify -9 into -9 * [misc]backup-simplify: Simplify (+ (* -9 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- a)))) 5)) (* -9 (* (pow (/ 1 (- b)) -2) (pow (/ 1 (- a)) -3))))) into (- (* 9 (* (pow a 3) (pow b 2))) (+ (* 3 (pow a 5)) (* 9 (* (pow a 2) (pow b 2))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 a) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) in b * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 a) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 a)) (- 1 a)) in b * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))) in b * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) in b * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) in b * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 a) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 a) a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 a) a) in b * [misc]taylor: Taking taylor expansion of (* 9 a) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* (* a a) (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* a a) (* 3 a)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (* a a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 a)) (- 1 a)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) in a * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 a) a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 a) a) in a * [misc]taylor: Taking taylor expansion of (* 9 a) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* (* a a) (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a a) (* 3 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* a a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 a)) (- 1 a)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) in a * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 a) a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 a) a) in a * [misc]taylor: Taking taylor expansion of (* 9 a) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* (* a a) (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a a) (* 3 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* a a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 (pow b 2)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 (pow b 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow b 4) 1) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 4)) into (pow b 8) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 (pow b 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) 4) into (* 4 (pow b 4)) * [misc]backup-simplify: Simplify (* 9 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (* (* 4 (pow b 4)) (pow b 2)) into (* 4 (pow b 6)) * [misc]backup-simplify: Simplify (+ (pow b 8) (* 4 (pow b 6))) into (+ (* 4 (pow b 6)) (pow b 8)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow b 6)) (pow b 8)) in b * [misc]taylor: Taking taylor expansion of (* 4 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 -1) (* 3 1)) into 2 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 2) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 2) (* 0 1)) into (* 2 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 2) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) (* 2 (pow b 4))) (* 0 (pow b 4))) into (* 2 (pow b 8)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 (pow b 2))) into (- (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 9 1) (* 0 0)) into 9 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 9 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (pow b 2))) (* 0 (pow b 2))) into (- (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 3) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (- (pow b 2)) 0) into (- (pow b 2)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 2) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (pow b 4)) (- (pow b 2))) (* 0 (pow b 2))) into (- (* 4 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* 2 (pow b 8)) (- (* 4 (pow b 6)))) into (- (* 2 (pow b 8)) (* 4 (pow b 6))) * [misc]taylor: Taking taylor expansion of (- (* 2 (pow b 8)) (* 4 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (* 2 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 -1) (* 0 1))) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 2) (* 0 0))) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 2 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (pow b 4) -3) (+ (* 0 2) (* (- (* 2 (pow b 2))) 1))) into (- (+ (* 3 (pow b 4)) (* 2 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 2) (* 0 0))) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 2 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (pow b 4) (- (+ (* 3 (pow b 4)) (* 2 (pow b 2))))) (+ (* 0 (* 2 (pow b 4))) (* (* 2 (pow b 2)) (pow b 4)))) into (- (* 3 (pow b 8))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 9 1) (* 0 0))) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (pow b 2))) (* -9 (pow b 2)))) into (- (* 9 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 3) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 -1) (+ (* 0 0) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (- (* 9 (pow b 2))) 1) into (- 1 (* 9 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 2) (* 0 0))) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 2 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 0) (* (- (* 2 (pow b 2))) 4))) into (- (* 8 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (* 4 (pow b 4)) (- 1 (* 9 (pow b 2)))) (+ (* 0 (- (pow b 2))) (* (- (* 8 (pow b 2))) (pow b 2)))) into (- (+ (* 4 (pow b 4)) (* 36 (pow b 6)))) * [misc]backup-simplify: Simplify (+ (- (* 3 (pow b 8))) (- (+ (* 4 (pow b 4)) (* 36 (pow b 6))))) into (- (+ (* 4 (pow b 4)) (+ (* 36 (pow b 6)) (* 3 (pow b 8))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (pow b 4)) (+ (* 36 (pow b 6)) (* 3 (pow b 8))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow b 4)) (+ (* 36 (pow b 6)) (* 3 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 36 (pow b 6)) (* 3 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of (* 36 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 -1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 2) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 -3) (+ (* (- (* 2 (pow b 2))) 2) (* 0 1)))) into (- (* 4 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 2) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) (- (* 4 (pow b 2)))) (+ (* 0 (- (+ (* 3 (pow b 4)) (* 2 (pow b 2))))) (+ (* (* 2 (pow b 2)) (* 2 (pow b 4))) (* 0 (pow b 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 9 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -9 (- (pow b 2))) (* 0 (pow b 2))))) into (* 9 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 3) (* 0 0)))) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 -1) (+ (* 1 0) (* 3 1)))) into 3 * [misc]backup-simplify: Simplify (+ (* 9 (pow b 2)) 3) into (+ (* 9 (pow b 2)) 3) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 2) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 0) (+ (* (- (* 2 (pow b 2))) 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (pow b 4)) (+ (* 9 (pow b 2)) 3)) (+ (* 0 (- 1 (* 9 (pow b 2)))) (+ (* (- (* 8 (pow b 2))) (- (pow b 2))) (* 0 (pow b 2))))) into (+ (* 20 (pow b 4)) (* 36 (pow b 6))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 20 (pow b 4)) (* 36 (pow b 6)))) into (+ (* 20 (pow b 4)) (* 36 (pow b 6))) * [misc]taylor: Taking taylor expansion of (+ (* 20 (pow b 4)) (* 36 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (* 20 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 20 in b * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 36 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 0) (+ (* (- (* 2 (pow b 2))) -3) (+ (* 0 2) (* -1 1))))) into (- (* 6 (pow b 2)) 1) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (pow b 4) (- (* 6 (pow b 2)) 1)) (+ (* 0 (- (* 4 (pow b 2)))) (+ (* (* 2 (pow b 2)) (- (+ (* 3 (pow b 4)) (* 2 (pow b 2))))) (+ (* 0 (* 2 (pow b 4))) (* 1 (pow b 4)))))) into (- (* 4 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 9 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -9 0) (+ (* 0 (- (pow b 2))) (* 0 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 3) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 -1) (+ (* 3 0) (* 0 1))))) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 0) (+ (* (- (* 2 (pow b 2))) 0) (+ (* 0 0) (* -1 4))))) into (- 4) * [misc]backup-simplify: Simplify (+ (* (* 4 (pow b 4)) -1) (+ (* 0 (+ (* 9 (pow b 2)) 3)) (+ (* (- (* 8 (pow b 2))) (- 1 (* 9 (pow b 2)))) (+ (* 0 (- (pow b 2))) (* (- 4) (pow b 2)))))) into (- (* 68 (pow b 4)) (* 12 (pow b 2))) * [misc]backup-simplify: Simplify (+ (- (* 4 (pow b 4))) (- (* 68 (pow b 4)) (* 12 (pow b 2)))) into (- (* 64 (pow b 4)) (* 12 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (* 64 (pow b 4)) (* 12 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (* 64 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 64 in b * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 0) (+ (* (- (* 2 (pow b 2))) 0) (+ (* 0 -3) (+ (* -1 2) (* 0 1)))))) into (- 2) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) (- 2)) (+ (* 0 (- (* 6 (pow b 2)) 1)) (+ (* (* 2 (pow b 2)) (- (* 4 (pow b 2)))) (+ (* 0 (- (+ (* 3 (pow b 4)) (* 2 (pow b 2))))) (+ (* 1 (* 2 (pow b 4))) (* 0 (pow b 4))))))) into (- (* 8 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -9 0) (+ (* 0 0) (+ (* 0 (- (pow b 2))) (* 0 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 3) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 3 -1) (+ (* 0 0) (* 0 1)))))) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 0) (+ (* (- (* 2 (pow b 2))) 0) (+ (* 0 0) (+ (* -1 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (pow b 4)) -3) (+ (* 0 -1) (+ (* (- (* 8 (pow b 2))) (+ (* 9 (pow b 2)) 3)) (+ (* 0 (- 1 (* 9 (pow b 2)))) (+ (* (- 4) (- (pow b 2))) (* 0 (pow b 2))))))) into (- (+ (* 84 (pow b 4)) (* 20 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (- (* 8 (pow b 4))) (- (+ (* 84 (pow b 4)) (* 20 (pow b 2))))) into (- (+ (* 92 (pow b 4)) (* 20 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 92 (pow b 4)) (* 20 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (+ (* 92 (pow b 4)) (* 20 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (* 92 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 92 in b * [misc]backup-simplify: Simplify 92 into 92 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 20 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 20 in b * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 0) (+ (* (- (* 2 (pow b 2))) 0) (+ (* 0 0) (+ (* -1 -3) (+ (* 0 2) (* 0 1))))))) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 3) (+ (* 0 (- 2)) (+ (* (* 2 (pow b 2)) (- (* 6 (pow b 2)) 1)) (+ (* 0 (- (* 4 (pow b 2)))) (+ (* 1 (- (+ (* 3 (pow b 4)) (* 2 (pow b 2))))) (+ (* 0 (* 2 (pow b 4))) (* 0 (pow b 4)))))))) into (- (* 12 (pow b 4)) (* 4 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (pow b 2))) (* 0 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 3) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 0) (+ (* (- (* 2 (pow b 2))) 0) (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (pow b 4)) 0) (+ (* 0 -3) (+ (* (- (* 8 (pow b 2))) -1) (+ (* 0 (+ (* 9 (pow b 2)) 3)) (+ (* (- 4) (- 1 (* 9 (pow b 2)))) (+ (* 0 (- (pow b 2))) (* 0 (pow b 2)))))))) into (- (* 44 (pow b 2)) 4) * [misc]backup-simplify: Simplify (+ (- (* 12 (pow b 4)) (* 4 (pow b 2))) (- (* 44 (pow b 2)) 4)) into (- (+ (* 12 (pow b 4)) (* 40 (pow b 2))) 4) * [misc]taylor: Taking taylor expansion of (- (+ (* 12 (pow b 4)) (* 40 (pow b 2))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 4)) (* 40 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 40 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 40 in b * [misc]backup-simplify: Simplify 40 into 40 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (- 12) into -12 * [misc]backup-simplify: Simplify (+ 0 -12) into -12 * [misc]backup-simplify: Simplify -12 into -12 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (+ (* -4 (pow (* (pow b 2) a) 2)) (+ (* -12 (pow (* b (pow a 2)) 2)) (* -4 (pow (* 1 a) 6)))) into (- (+ (* 4 (pow a 6)) (+ (* 4 (* (pow a 2) (pow b 4))) (* 12 (* (pow a 4) (pow b 2)))))) * [misc]approximate: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) in b * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 a)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 a)) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 (/ 1 a))) (- 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) 4) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 a)) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 a)) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) (- 1 (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (* -1 -3) into 3 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 1 -1)) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 2) (* 0 -3)) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -2) (* 0 3)) into -2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* -4 -3) into 12 * [misc]backup-simplify: Simplify (+ -2 12) into 10 * [misc]taylor: Taking taylor expansion of 10 in b * [misc]backup-simplify: Simplify 10 into 10 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 1) (* 0 -1))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow b 2))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 2) (* (- (* 2 (/ 1 (pow b 2)))) -3))) into (- (* 6 (/ 1 (pow b 2))) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 -2) (* (* 2 (/ 1 (pow b 2))) 3))) into (- (* 12 (/ 1 (pow b 2))) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (+ (* -4 -1) (* 0 -3)) into 4 * [misc]backup-simplify: Simplify (+ (- (* 12 (/ 1 (pow b 2))) 1) 4) into (+ 3 (* 12 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 3 (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* (- (* 2 (/ 1 (pow b 2)))) 2) (* 0 -3)))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 4 (/ 1 (pow b 2))))) (+ (* 0 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* (* 2 (/ 1 (pow b 2))) -2) (* 0 3)))) into (- (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (* -9 (/ -1 (pow b 2))) into (/ 9 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 1 0) (* 0 -1))) into 3 * [misc]backup-simplify: Simplify (+ (/ 9 (pow b 2)) 3) into (+ 3 (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow b 2))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* (- (* 2 (/ 1 (pow b 2)))) 4))) into (- (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -4 (+ 3 (* 9 (/ 1 (pow b 2))))) (+ (* 0 -1) (* (- (* 8 (/ 1 (pow b 2)))) -3))) into (- (+ 12 (* 12 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (+ (- (* 8 (/ 1 (pow b 2)))) (- (+ 12 (* 12 (/ 1 (pow b 2)))))) into (- (+ 12 (* 20 (/ 1 (pow b 2))))) * [misc]taylor: Taking taylor expansion of (- (+ 12 (* 20 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (+ 12 (* 20 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (* 20 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 20 in b * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 1) (+ (* 0 2) (* (/ 1 (pow b 4)) -3))))) into (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ (* 0 (- (* 4 (/ 1 (pow b 2))))) (+ (* (* 2 (/ 1 (pow b 2))) (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 -2) (* (/ 1 (pow b 4)) 3))))) into (- (* 12 (/ 1 (pow b 4))) (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 (/ 1 (pow b 2)))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 (/ 1 (pow b 2))) (* 0 (/ -1 (pow b 2)))) into (- (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 1) (+ (* 0 0) (* 0 -1)))) into 1 * [misc]backup-simplify: Simplify (+ (- (* 9 (/ 1 (pow b 2)))) 1) into (- 1 (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* -4 (- 1 (* 9 (/ 1 (pow b 2))))) (+ (* 0 (+ 3 (* 9 (/ 1 (pow b 2))))) (+ (* (- (* 8 (/ 1 (pow b 2)))) -1) (* 0 -3)))) into (- (* 44 (/ 1 (pow b 2))) 4) * [misc]backup-simplify: Simplify (+ (- (* 12 (/ 1 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (- (* 44 (/ 1 (pow b 2))) 4)) into (- (+ (* 12 (/ 1 (pow b 4))) (* 40 (/ 1 (pow b 2)))) 4) * [misc]taylor: Taking taylor expansion of (- (+ (* 12 (/ 1 (pow b 4))) (* 40 (/ 1 (pow b 2)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ 1 (pow b 4))) (* 40 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 40 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 40 in b * [misc]backup-simplify: Simplify 40 into 40 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 1) (+ (* (/ 1 (pow b 4)) 2) (* 0 -3)))))) into (* 2 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow b 4)))) (+ (* 0 (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ (* (* 2 (/ 1 (pow b 2))) (- (* 4 (/ 1 (pow b 2))))) (+ (* 0 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* (/ 1 (pow b 4)) -2) (* 0 3)))))) into (- (* 8 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -9 0) (+ (* 0 (/ 1 (pow b 2))) (* 1 (/ -1 (pow b 2))))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (- (/ 1 (pow b 2))) 0) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (* (/ 1 (pow b 4)) 4))))) into (* 4 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* -4 (- (/ 1 (pow b 2)))) (+ (* 0 (- 1 (* 9 (/ 1 (pow b 2))))) (+ (* (- (* 8 (/ 1 (pow b 2)))) (+ 3 (* 9 (/ 1 (pow b 2))))) (+ (* 0 -1) (* (* 4 (/ 1 (pow b 4))) -3))))) into (- (+ (* 84 (/ 1 (pow b 4))) (* 20 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (+ (- (* 8 (/ 1 (pow b 4)))) (- (+ (* 84 (/ 1 (pow b 4))) (* 20 (/ 1 (pow b 2)))))) into (- (+ (* 92 (/ 1 (pow b 4))) (* 20 (/ 1 (pow b 2))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 92 (/ 1 (pow b 4))) (* 20 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 92 (/ 1 (pow b 4))) (* 20 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 92 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 92 in b * [misc]backup-simplify: Simplify 92 into 92 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 20 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 20 in b * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 1) (+ (* 0 2) (* 0 -3))))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 4))) (+ (* 0 (* 2 (/ 1 (pow b 4)))) (+ (* (* 2 (/ 1 (pow b 2))) (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ (* 0 (- (* 4 (/ 1 (pow b 2))))) (+ (* (/ 1 (pow b 4)) (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 -2) (* 0 3))))))) into (- (* 4 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 0) (+ (* 0 0) (+ (* 1 (/ 1 (pow b 2))) (* 0 (/ -1 (pow b 2)))))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -4 (/ 1 (pow b 2))) (+ (* 0 (- (/ 1 (pow b 2)))) (+ (* (- (* 8 (/ 1 (pow b 2)))) (- 1 (* 9 (/ 1 (pow b 2))))) (+ (* 0 (+ 3 (* 9 (/ 1 (pow b 2))))) (+ (* (* 4 (/ 1 (pow b 4))) -1) (* 0 -3)))))) into (- (* 68 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 4)))) (- (* 68 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2))))) into (- (* 64 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 64 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 64 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 64 in b * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 1) (+ (* 0 2) (* 0 -3)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (* 2 (/ 1 (pow b 2))) (* 2 (/ 1 (pow b 4)))) (+ (* 0 (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ (* (/ 1 (pow b 4)) (- (* 4 (/ 1 (pow b 2))))) (+ (* 0 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 -2) (* 0 3)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (* 0 (/ -1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -4 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (- (* 8 (/ 1 (pow b 2)))) (- (/ 1 (pow b 2)))) (+ (* 0 (- 1 (* 9 (/ 1 (pow b 2))))) (+ (* (* 4 (/ 1 (pow b 4))) (+ 3 (* 9 (/ 1 (pow b 2))))) (+ (* 0 -1) (* 0 -3))))))) into (+ (* 36 (/ 1 (pow b 6))) (* 20 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 36 (/ 1 (pow b 6))) (* 20 (/ 1 (pow b 4))))) into (+ (* 36 (/ 1 (pow b 6))) (* 20 (/ 1 (pow b 4)))) * [misc]taylor: Taking taylor expansion of (+ (* 36 (/ 1 (pow b 6))) (* 20 (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 36 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 20 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 20 in b * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 2) (* 0 -3))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) (/ 1 (pow b 4))) (+ (* 0 (* 2 (/ 1 (pow b 4)))) (+ (* (/ 1 (pow b 4)) (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ (* 0 (- (* 4 (/ 1 (pow b 2))))) (+ (* 0 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 -2) (* 0 3))))))))) into (- (* 3 (/ 1 (pow b 8)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 2))) (* 0 (/ -1 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -4 0) (+ (* 0 0) (+ (* (- (* 8 (/ 1 (pow b 2)))) (/ 1 (pow b 2))) (+ (* 0 (- (/ 1 (pow b 2)))) (+ (* (* 4 (/ 1 (pow b 4))) (- 1 (* 9 (/ 1 (pow b 2))))) (+ (* 0 (+ 3 (* 9 (/ 1 (pow b 2))))) (+ (* 0 -1) (* 0 -3)))))))) into (- (+ (* 36 (/ 1 (pow b 6))) (* 4 (/ 1 (pow b 4))))) * [misc]backup-simplify: Simplify (+ (- (* 3 (/ 1 (pow b 8)))) (- (+ (* 36 (/ 1 (pow b 6))) (* 4 (/ 1 (pow b 4)))))) into (- (+ (* 3 (/ 1 (pow b 8))) (+ (* 36 (/ 1 (pow b 6))) (* 4 (/ 1 (pow b 4)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 3 (/ 1 (pow b 8))) (+ (* 36 (/ 1 (pow b 6))) (* 4 (/ 1 (pow b 4)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ 1 (pow b 8))) (+ (* 36 (/ 1 (pow b 6))) (* 4 (/ 1 (pow b 4))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 36 (/ 1 (pow b 6))) (* 4 (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 36 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (+ (* 12 (pow (* (/ 1 (/ 1 b)) (pow (/ 1 a) -4)) 2)) (+ (* 12 (pow (* (pow (/ 1 b) -2) (pow (/ 1 a) -3)) 2)) (* -3 (pow (* (pow (/ 1 b) -4) (/ 1 (/ 1 a))) 2)))) into (- (+ (* 12 (* (pow a 8) (pow b 2))) (* 12 (* (pow a 6) (pow b 4)))) (* 3 (* (pow a 2) (pow b 8)))) * [misc]approximate: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) in b * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 (- a))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 (- a))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ 1 (* 3 (/ 1 (- a)))) (- 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* 9 (/ 1 (- a))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 9 (/ 1 (- a))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -3 1) into -3 * [misc]backup-simplify: Simplify (* -1 -3) into 3 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -3 1) (* 1 1)) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 -2) (* 0 -3)) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 2) (* 0 3)) into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (* 1 -3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* -4 3) into -12 * [misc]backup-simplify: Simplify (+ 2 -12) into -10 * [misc]taylor: Taking taylor expansion of -10 in b * [misc]backup-simplify: Simplify -10 into -10 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 1) (* 0 1))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow b 2))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -2) (* (- (* 2 (/ 1 (pow b 2)))) -3))) into (- (* 6 (/ 1 (pow b 2))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 2) (* (* 2 (/ 1 (pow b 2))) 3))) into (- (* 12 (/ 1 (pow b 2))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (+ (* -4 -1) (* 0 3)) into 4 * [misc]backup-simplify: Simplify (+ (- (* 12 (/ 1 (pow b 2))) 1) 4) into (+ 3 (* 12 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 3 (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* (- (* 2 (/ 1 (pow b 2)))) -2) (* 0 -3)))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 4 (/ 1 (pow b 2)))) (+ (* 0 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* (* 2 (/ 1 (pow b 2))) 2) (* 0 3)))) into (* 8 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (* 9 -1) into -9 * [misc]backup-simplify: Simplify (* -9 -1) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -9 (/ 1 (pow b 2))) into (/ -9 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 1) (+ (* 1 0) (* 0 -1))) into -3 * [misc]backup-simplify: Simplify (+ (/ -9 (pow b 2)) -3) into (- (+ 3 (* 9 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow b 2))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* (- (* 2 (/ 1 (pow b 2)))) 4))) into (- (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -4 (- (+ 3 (* 9 (/ 1 (pow b 2)))))) (+ (* 0 -1) (* (- (* 8 (/ 1 (pow b 2)))) 3))) into (+ 12 (* 12 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* 8 (/ 1 (pow b 2))) (+ 12 (* 12 (/ 1 (pow b 2))))) into (+ 12 (* 20 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 12 (* 20 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (* 20 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 20 in b * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 1) (+ (* 0 -2) (* (/ 1 (pow b 4)) -3))))) into (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ (* 0 (* 4 (/ 1 (pow b 2)))) (+ (* (* 2 (/ 1 (pow b 2))) (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 2) (* (/ 1 (pow b 4)) 3))))) into (- (* 12 (/ 1 (pow b 4))) (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 (/ 1 (pow b 2)))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -9 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 (/ 1 (pow b 2))) (* 0 (/ 1 (pow b 2)))) into (- (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 1) (+ (* 0 0) (* 0 -1)))) into 1 * [misc]backup-simplify: Simplify (+ (- (* 9 (/ 1 (pow b 2)))) 1) into (- 1 (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* -4 (- 1 (* 9 (/ 1 (pow b 2))))) (+ (* 0 (- (+ 3 (* 9 (/ 1 (pow b 2)))))) (+ (* (- (* 8 (/ 1 (pow b 2)))) -1) (* 0 3)))) into (- (* 44 (/ 1 (pow b 2))) 4) * [misc]backup-simplify: Simplify (+ (- (* 12 (/ 1 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (- (* 44 (/ 1 (pow b 2))) 4)) into (- (+ (* 12 (/ 1 (pow b 4))) (* 40 (/ 1 (pow b 2)))) 4) * [misc]taylor: Taking taylor expansion of (- (+ (* 12 (/ 1 (pow b 4))) (* 40 (/ 1 (pow b 2)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ 1 (pow b 4))) (* 40 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 40 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 40 in b * [misc]backup-simplify: Simplify 40 into 40 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 1) (+ (* (/ 1 (pow b 4)) -2) (* 0 -3)))))) into (- (* 2 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2 (/ 1 (pow b 4))))) (+ (* 0 (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ (* (* 2 (/ 1 (pow b 2))) (* 4 (/ 1 (pow b 2)))) (+ (* 0 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* (/ 1 (pow b 4)) 2) (* 0 3)))))) into (* 8 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -9 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -9 0) (+ (* 0 (/ 1 (pow b 2))) (* 1 (/ 1 (pow b 2))))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (* (/ 1 (pow b 4)) 4))))) into (* 4 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* -4 (/ 1 (pow b 2))) (+ (* 0 (- 1 (* 9 (/ 1 (pow b 2))))) (+ (* (- (* 8 (/ 1 (pow b 2)))) (- (+ 3 (* 9 (/ 1 (pow b 2)))))) (+ (* 0 -1) (* (* 4 (/ 1 (pow b 4))) 3))))) into (+ (* 84 (/ 1 (pow b 4))) (* 20 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* 8 (/ 1 (pow b 4))) (+ (* 84 (/ 1 (pow b 4))) (* 20 (/ 1 (pow b 2))))) into (+ (* 92 (/ 1 (pow b 4))) (* 20 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ (* 92 (/ 1 (pow b 4))) (* 20 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 92 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 92 in b * [misc]backup-simplify: Simplify 92 into 92 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 20 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 20 in b * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 1) (+ (* 0 -2) (* 0 -3))))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 4))) (+ (* 0 (- (* 2 (/ 1 (pow b 4))))) (+ (* (* 2 (/ 1 (pow b 2))) (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ (* 0 (* 4 (/ 1 (pow b 2)))) (+ (* (/ 1 (pow b 4)) (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 2) (* 0 3))))))) into (- (* 4 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -9 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 0) (+ (* 0 0) (+ (* 1 (/ 1 (pow b 2))) (* 0 (/ 1 (pow b 2)))))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -4 (/ 1 (pow b 2))) (+ (* 0 (/ 1 (pow b 2))) (+ (* (- (* 8 (/ 1 (pow b 2)))) (- 1 (* 9 (/ 1 (pow b 2))))) (+ (* 0 (- (+ 3 (* 9 (/ 1 (pow b 2)))))) (+ (* (* 4 (/ 1 (pow b 4))) -1) (* 0 3)))))) into (- (* 68 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 4)))) (- (* 68 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2))))) into (- (* 64 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 64 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 64 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 64 in b * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 1) (+ (* 0 -2) (* 0 -3)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (* 2 (/ 1 (pow b 2))) (- (* 2 (/ 1 (pow b 4))))) (+ (* 0 (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ (* (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) (+ (* 0 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 2) (* 0 3)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -4 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (- (* 8 (/ 1 (pow b 2)))) (/ 1 (pow b 2))) (+ (* 0 (- 1 (* 9 (/ 1 (pow b 2))))) (+ (* (* 4 (/ 1 (pow b 4))) (- (+ 3 (* 9 (/ 1 (pow b 2)))))) (+ (* 0 -1) (* 0 3))))))) into (- (+ (* 36 (/ 1 (pow b 6))) (* 20 (/ 1 (pow b 4))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 36 (/ 1 (pow b 6))) (* 20 (/ 1 (pow b 4)))))) into (- (+ (* 36 (/ 1 (pow b 6))) (* 20 (/ 1 (pow b 4))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 36 (/ 1 (pow b 6))) (* 20 (/ 1 (pow b 4))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 36 (/ 1 (pow b 6))) (* 20 (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 36 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 20 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 20 in b * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -2) (* 0 -3))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) (/ 1 (pow b 4))) (+ (* 0 (- (* 2 (/ 1 (pow b 4))))) (+ (* (/ 1 (pow b 4)) (- (+ (* 3 (/ 1 (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ (* 0 (* 4 (/ 1 (pow b 2)))) (+ (* 0 (- (* 6 (/ 1 (pow b 2))) 1)) (+ (* 0 2) (* 0 3))))))))) into (- (* 3 (/ 1 (pow b 8)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 2))) (* 0 (/ 1 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -4 0) (+ (* 0 0) (+ (* (- (* 8 (/ 1 (pow b 2)))) (/ 1 (pow b 2))) (+ (* 0 (/ 1 (pow b 2))) (+ (* (* 4 (/ 1 (pow b 4))) (- 1 (* 9 (/ 1 (pow b 2))))) (+ (* 0 (- (+ 3 (* 9 (/ 1 (pow b 2)))))) (+ (* 0 -1) (* 0 3)))))))) into (- (+ (* 36 (/ 1 (pow b 6))) (* 4 (/ 1 (pow b 4))))) * [misc]backup-simplify: Simplify (+ (- (* 3 (/ 1 (pow b 8)))) (- (+ (* 36 (/ 1 (pow b 6))) (* 4 (/ 1 (pow b 4)))))) into (- (+ (* 3 (/ 1 (pow b 8))) (+ (* 36 (/ 1 (pow b 6))) (* 4 (/ 1 (pow b 4)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 3 (/ 1 (pow b 8))) (+ (* 36 (/ 1 (pow b 6))) (* 4 (/ 1 (pow b 4)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ 1 (pow b 8))) (+ (* 36 (/ 1 (pow b 6))) (* 4 (/ 1 (pow b 4))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 36 (/ 1 (pow b 6))) (* 4 (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 36 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (+ (* 12 (pow (* (/ 1 (/ 1 (- b))) (pow (/ 1 (- a)) -4)) 2)) (+ (* 12 (pow (* (pow (/ 1 (- b)) -2) (pow (/ 1 (- a)) -3)) 2)) (* -3 (pow (* (pow (/ 1 (- b)) -4) (/ 1 (/ 1 (- a)))) 2)))) into (- (+ (* 12 (* (pow a 8) (pow b 2))) (* 12 (* (pow a 6) (pow b 4)))) (* 3 (* (pow a 2) (pow b 8)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2 1 1 2) * [misc]approximate: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 a) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* a (* 2 a)) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a (* 2 a)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 (pow b 2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 2) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 2) (* 0 0))) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 2 (pow b 2)))) into (* 2 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 2) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (* 2 (/ 1 a))) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* 2 (* (pow a 2) (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* 2 (* (pow a 2) (pow b 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 32184 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (+ (log (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (log (- 1 a)) (log (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (442 enodes) * [exit]simplify: Simplified to (- (log (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (+ (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (+ (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (* (- 1 (* a a)) 4)))))) (+ (+ (log (+ (* 3 a) 1)) (log (- 1 a))) (log (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (exp (- (log (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (+ (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (+ (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (* (- 1 (* a a)) 4)))))) (+ (+ (log (+ (* 3 a) 1)) (log (- 1 a))) (log (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))))) 1)) * * * * [misc]progress: [ 3 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (+ (log (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (log (* (- 1 a) (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (451 enodes) * [exit]simplify: Simplified to (- (log (* (+ (* -2 (* (* b b) (* a a))) (- (pow b 4) (pow a 4))) (+ (+ (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (* a a)) 4)) (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a))))) (* (+ (* (* (* 2 b) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (- 1 a) (* (* a 3) (- 1 a))))))) (+ (log (+ (- 1 a) (* (* a 3) (- 1 a)))) (log (+ (* -2 (* (* b b) (* a a))) (- (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (exp (- (log (* (+ (* -2 (* (* b b) (* a a))) (- (pow b 4) (pow a 4))) (+ (+ (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (* a a)) 4)) (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a))))) (* (+ (* (* (* 2 b) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (- 1 a) (* (* a 3) (- 1 a))))))) (+ (log (+ (- 1 a) (* (* a 3) (- 1 a)))) (log (+ (* -2 (* (* b b) (* a a))) (- (pow b 4) (pow a 4))))))) 1)) * * * * [misc]progress: [ 4 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (log (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (453 enodes) * [exit]simplify: Simplified to (- (log (+ (* (* (+ (* (* (* b 2) (* a a)) b) (+ (pow a 4) (pow b 4))) (* (- 1 a) (+ (* a 3) 1))) (+ (* (* (* b b) (* a a)) -2) (- (pow b 4) (pow a 4)))) (* (+ (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* a 3)))) (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a))))) (+ (* (* (* b b) (* a a)) -2) (- (pow b 4) (pow a 4)))))) (log (* (+ (* (* (* b b) (* a a)) -2) (- (pow b 4) (pow a 4))) (* (- 1 a) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (exp (- (log (+ (* (* (+ (* (* (* b 2) (* a a)) b) (+ (pow a 4) (pow b 4))) (* (- 1 a) (+ (* a 3) 1))) (+ (* (* (* b b) (* a a)) -2) (- (pow b 4) (pow a 4)))) (* (+ (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* a 3)))) (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a))))) (+ (* (* (* b b) (* a a)) -2) (- (pow b 4) (pow a 4)))))) (log (* (+ (* (* (* b b) (* a a)) -2) (- (pow b 4) (pow a 4))) (* (- 1 a) (+ (* a 3) 1)))))) 1)) * * * * [misc]progress: [ 5 / 32184 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 32184 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (* (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (+ (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (/ (* (* (* (* (pow (- 1 a) 3) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (cbrt (/ (* (+ (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (+ (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (/ (* (* (* (* (pow (- 1 a) 3) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))))) 1)) * * * * [misc]progress: [ 8 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (* (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (* (- 1 a) (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))) (* (- 1 a) (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a)))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a))))))) (/ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (pow (* (- 1 a) (+ (* 3 a) 1)) 3) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (cbrt (/ (* (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a)))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a))))))) (/ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (pow (* (- 1 a) (+ (* 3 a) 1)) 3) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 9 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (* (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a)))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a))))))) (/ (pow (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 3) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (cbrt (/ (* (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a)))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a))))))) (/ (pow (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 3) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a a) (* 3 a)) (* a a)) (- 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 10 / 32184 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 32184 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 32184 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 32184 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (412 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (+ (* (* (* a a) (* b b)) -2) (- (pow b 4) (pow a 4))) (+ (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* a (* (* a 2) (* b b))) (+ (pow a 4) (pow b 4)))) (+ (* (- 1 (* 9 (* a a))) (* (* (* b b) (- 1 a)) 4)) (* (* 4 (- 1 (* a a))) (+ (* (* a a) (* 3 a)) (* a a))))))) (cbrt (* (+ (* (* (* a a) (* b b)) -2) (- (pow b 4) (pow a 4))) (+ (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* a (* (* a 2) (* b b))) (+ (pow a 4) (pow b 4)))) (+ (* (- 1 (* 9 (* a a))) (* (* (* b b) (- 1 a)) 4)) (* (* 4 (- 1 (* a a))) (+ (* (* a a) (* 3 a)) (* a a)))))))) (+ (* (* (* a a) (* b b)) -2) (- (pow b 4) (pow a 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (/ (* (cbrt (* (+ (* (* (* a a) (* b b)) -2) (- (pow b 4) (pow a 4))) (+ (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* a (* (* a 2) (* b b))) (+ (pow a 4) (pow b 4)))) (+ (* (- 1 (* 9 (* a a))) (* (* (* b b) (- 1 a)) 4)) (* (* 4 (- 1 (* a a))) (+ (* (* a a) (* 3 a)) (* a a))))))) (cbrt (* (+ (* (* (* a a) (* b b)) -2) (- (pow b 4) (pow a 4))) (+ (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* a (* (* a 2) (* b b))) (+ (pow a 4) (pow b 4)))) (+ (* (- 1 (* 9 (* a a))) (* (* (* b b) (- 1 a)) 4)) (* (* 4 (- 1 (* a a))) (+ (* (* a a) (* 3 a)) (* a a)))))))) (+ (* (* (* a a) (* b b)) -2) (- (pow b 4) (pow a 4)))) (/ (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (* (- 1 a) (+ 1 (* 3 a))))) 1)) * [enter]simplify: Simplifying (/ (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (* (- 1 a) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* (+ (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (+ (- 1 a) (* (* a 3) (- 1 a))) (+ (- (pow b 4) (pow a 4)) (* (* b b) (* -2 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* -2 (* a a)))) (+ (* (- 1 (* a (* 9 a))) (* (* (- 1 a) (* b b)) 4)) (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* a 3)))))))) (+ (- 1 a) (* (* a 3) (- 1 a)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (cbrt (* (+ (* (* (* a a) (* b b)) -2) (- (pow b 4) (pow a 4))) (+ (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* a (* (* a 2) (* b b))) (+ (pow a 4) (pow b 4)))) (+ (* (- 1 (* 9 (* a a))) (* (* (* b b) (- 1 a)) 4)) (* (* 4 (- 1 (* a a))) (+ (* (* a a) (* 3 a)) (* a a))))))) (cbrt (* (+ (* (* (* a a) (* b b)) -2) (- (pow b 4) (pow a 4))) (+ (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* a (* (* a 2) (* b b))) (+ (pow a 4) (pow b 4)))) (+ (* (- 1 (* 9 (* a a))) (* (* (* b b) (- 1 a)) 4)) (* (* 4 (- 1 (* a a))) (+ (* (* a a) (* 3 a)) (* a a)))))))) (+ (* (* (* a a) (* b b)) -2) (- (pow b 4) (pow a 4)))) (/ (cbrt (+ (* (+ (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (+ (- 1 a) (* (* a 3) (- 1 a))) (+ (- (pow b 4) (pow a 4)) (* (* b b) (* -2 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* -2 (* a a)))) (+ (* (- 1 (* a (* 9 a))) (* (* (- 1 a) (* b b)) 4)) (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* a 3)))))))) (+ (- 1 a) (* (* a 3) (- 1 a))))) 1)) * * * * [misc]progress: [ 15 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ (* -2 (* (* b b) (* a a))) (- (pow b 4) (pow a 4))) (+ (+ (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a)))) (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* 3 a))))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))))) (+ (* -2 (* (* b b) (* a a))) (- (pow b 4) (pow a 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (/ (sqrt (* (+ (* -2 (* (* b b) (* a a))) (- (pow b 4) (pow a 4))) (+ (+ (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a)))) (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* 3 a))))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))))) (+ (* -2 (* (* b b) (* a a))) (- (pow b 4) (pow a 4)))) (/ (sqrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (* (- 1 a) (+ 1 (* 3 a))))) 1)) * [enter]simplify: Simplifying (/ (sqrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (* (- 1 a) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (+ (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (+ (- 1 a) (* (* a 3) (- 1 a))) (+ (- (pow b 4) (pow a 4)) (* (* b b) (* -2 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* -2 (* a a)))) (+ (* (- 1 (* a (* 9 a))) (* (* (- 1 a) (* b b)) 4)) (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* a 3)))))))) (+ (- 1 a) (* (* a 3) (- 1 a)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (sqrt (* (+ (* -2 (* (* b b) (* a a))) (- (pow b 4) (pow a 4))) (+ (+ (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a)))) (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* 3 a))))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))))) (+ (* -2 (* (* b b) (* a a))) (- (pow b 4) (pow a 4)))) (/ (sqrt (+ (* (+ (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (+ (- 1 a) (* (* a 3) (- 1 a))) (+ (- (pow b 4) (pow a 4)) (* (* b b) (* -2 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* -2 (* a a)))) (+ (* (- 1 (* a (* 9 a))) (* (* (- 1 a) (* b b)) 4)) (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* a 3)))))))) (+ (- 1 a) (* (* a 3) (- 1 a))))) 1)) * * * * [misc]progress: [ 16 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (434 enodes) * [exit]simplify: Simplified to (/ 1 (- (- (pow b 4) (pow a 4)) (* (* (* a b) (* a b)) 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (/ 1 (- (- (pow b 4) (pow a 4)) (* (* (* a b) (* a b)) 2))) (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- 1 a) (+ 1 (* 3 a))))) 1)) * [enter]simplify: Simplifying (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- 1 a) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (* b (* (* a 2) (* b a))) (+ (pow a 4) (pow b 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* -2 (* a a)) (* b b))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* -2 (* a a)) (* b b))) (+ (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* 3 a)))) (* (- 1 (* a (* 9 a))) (* (* (* b b) (- 1 a)) 4))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ 1 (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (/ (+ (* (+ (* b (* (* a 2) (* b a))) (+ (pow a 4) (pow b 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* -2 (* a a)) (* b b))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* -2 (* a a)) (* b b))) (+ (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* 3 a)))) (* (- 1 (* a (* 9 a))) (* (* (* b b) (- 1 a)) 4))))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) 1)) * * * * [misc]progress: [ 17 / 32184 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 32184 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 32184 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 a) (+ 1 (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (* (- 1 a) (+ 1 (* 3 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- 1 a) (+ 1 (* 3 a)))) 1)) * * * * [misc]progress: [ 21 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* -2 (* a a)))) (+ (+ (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* 3 a)))) (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a))))) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* b (* (* a 2) (* b a))) (+ (pow a 4) (pow b 4))))))) (cbrt (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* -2 (* a a)))) (+ (+ (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* 3 a)))) (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a))))) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* b (* (* a 2) (* b a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (cbrt (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* -2 (* a a)))) (+ (+ (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* 3 a)))) (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a))))) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* b (* (* a 2) (* b a))) (+ (pow a 4) (pow b 4))))))) (cbrt (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* -2 (* a a)))) (+ (+ (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* 3 a)))) (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a))))) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* b (* (* a 2) (* b a))) (+ (pow a 4) (pow b 4)))))))) (/ (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 22 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (* b b) (* -2 (* a a))) (- (pow b 4) (pow a 4))) (+ (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (+ (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* 3 a)))) (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (sqrt (* (+ (* (* b b) (* -2 (* a a))) (- (pow b 4) (pow a 4))) (+ (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (+ (* (* 4 (- 1 (* a a))) (+ (* a a) (* (* a a) (* 3 a)))) (* (* 4 (* (* b b) (- 1 a))) (- 1 (* a (* 9 a)))))))) (/ (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (sqrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 23 / 32184 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (341 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (+ (* a a) (+ 1 a)) (* (+ (* a a) (+ 1 a)) (* (* 3 a) (+ -1 (* 3 a)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (- (pow 1 3) (pow a 3)) (+ (pow 1 3) (pow (* 3 a) 3))))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (+ (* a a) (+ 1 a)) (* (+ (* a a) (+ 1 a)) (* (* 3 a) (+ -1 (* 3 a))))))) 1)) * * * * [misc]progress: [ 25 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* a (* 2 a)))) (+ (pow a 4) (* (* b b) (* a (* 2 a))))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (- (pow 1 3) (pow a 3)) (- (* 1 1) (* (* 3 a) (* 3 a)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* a (* 2 a)))) (+ (pow a 4) (* (* b b) (* a (* 2 a))))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3))))) 1)) * * * * [misc]progress: [ 26 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 a) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (+ 1 a) (* (+ -1 (* a 3)) (* (+ 1 a) (* a 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (- (* 1 1) (* a a)) (+ (pow 1 3) (pow (* 3 a) 3))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (+ 1 a) (* (+ -1 (* a 3)) (* (+ 1 a) (* a 3)))))) 1)) * * * * [misc]progress: [ 27 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 a) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4))) (* (+ 1 (* a -3)) (+ 1 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (- (* 1 1) (* a a)) (- (* 1 1) (* (* 3 a) (* 3 a)))))) (* (+ (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4))) (* (+ 1 (* a -3)) (+ 1 a)))) 1)) * * * * [misc]progress: [ 28 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (+ (* (* a 9) a) (- 1 (* a 3))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (* (* 2 a) (* (* a b) b)) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (- 1 a) (+ (pow 1 3) (pow (* 3 a) 3))))) (* (+ (* (* a 9) a) (- 1 (* a 3))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (* (* 2 a) (* (* a b) b)) (+ (pow a 4) (pow b 4))))))) 1)) * * * * [misc]progress: [ 29 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (* 3 a))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4))) (+ 1 (* a -3))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (- 1 a) (- (* 1 1) (* (* 3 a) (* 3 a)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4))) (+ 1 (* a -3)))) 1)) * * * * [misc]progress: [ 30 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* a a) (* 1 a)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (+ (* (pow b 4) (pow b 4)) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (+ 1 a) (* a a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (- (pow 1 3) (pow a 3)) (+ 1 (* 3 a))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (+ 1 a) (* a a)))) 1)) * * * * [misc]progress: [ 31 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 a)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (pow a 4) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a))))) (+ 1 a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (- (* 1 1) (* a a)) (+ 1 (* 3 a))))) (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (pow a 4) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a))))) (+ 1 a))) 1)) * * * * [misc]progress: [ 32 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a))) (* (+ (+ 1 a) (* a a)) (- (* (* a 9) a) (+ (* 3 a) -1)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (pow 1 3) (pow a 3)) (+ (pow 1 3) (pow (* 3 a) 3))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a))) (* (+ (+ 1 a) (* a a)) (- (* (* a 9) a) (+ (* 3 a) -1))))) 1)) * * * * [misc]progress: [ 33 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* a -3)) (+ (* a a) (+ 1 a))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (pow 1 3) (pow a 3)) (- (* 1 1) (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (* a -3)) (+ (* a a) (+ 1 a))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) 1)) * * * * [misc]progress: [ 34 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 a) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a 3) (+ 1 a)) (+ (* a 3) -1)) (+ 1 a)) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* 1 1) (* a a)) (+ (pow 1 3) (pow (* 3 a) 3))))) (* (+ (* (* (* a 3) (+ 1 a)) (+ (* a 3) -1)) (+ 1 a)) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) 1)) * * * * [misc]progress: [ 35 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 a) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a b) (* a b)) 2)) (+ (+ 1 a) (* (* -3 a) (+ 1 a)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* 1 1) (* a a)) (- (* 1 1) (* (* 3 a) (* 3 a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a b) (* a b)) 2)) (+ (+ 1 a) (* (* -3 a) (+ 1 a))))) 1)) * * * * [misc]progress: [ 36 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (* (+ (* a (* 9 a)) (- 1 (* 3 a))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- 1 a) (+ (pow 1 3) (pow (* 3 a) 3))))) (* (+ (* a (* 9 a)) (- 1 (* 3 a))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))))) 1)) * * * * [misc]progress: [ 37 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* 3 a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b)))) (+ 1 (* a -3))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- 1 a) (- (* 1 1) (* (* 3 a) (* 3 a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b)))) (+ 1 (* a -3)))) 1)) * * * * [misc]progress: [ 38 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* a a) (* 1 a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ 1 a) (* a a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (pow 1 3) (pow a 3)) (+ 1 (* 3 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ 1 a) (* a a)))) 1)) * * * * [misc]progress: [ 39 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (332 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 a) 2) (* (* a b) (* a b))) (* (+ 1 a) (+ (pow b 4) (pow a 4)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* 1 1) (* a a)) (+ 1 (* 3 a))))) (+ (* (* (+ 1 a) 2) (* (* a b) (* a b))) (* (+ 1 a) (+ (pow b 4) (pow a 4))))) 1)) * * * * [misc]progress: [ 40 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (* (+ (* (* a 3) (* a 3)) (- 1 (* a 3))) (+ (* a a) (+ 1 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- (pow 1 3) (pow a 3)) (+ (pow 1 3) (pow (* 3 a) 3))))) (* (+ (* (* a 3) (* a 3)) (- 1 (* a 3))) (+ (* a a) (+ 1 a)))) 1)) * * * * [misc]progress: [ 41 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 1 (* 3 a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (* (- 1 (* 3 a)) (+ (* a a) (+ 1 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- (pow 1 3) (pow a 3)) (- (* 1 1) (* (* 3 a) (* 3 a)))))) (* (- 1 (* 3 a)) (+ (* a a) (+ 1 a)))) 1)) * * * * [misc]progress: [ 42 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 a) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (* (+ a 1) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- (* 1 1) (* a a)) (+ (pow 1 3) (pow (* 3 a) 3))))) (* (+ a 1) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) 1)) * * * * [misc]progress: [ 43 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 a) (- 1 (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (* (+ a 1) (- 1 (* 3 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- (* 1 1) (* a a)) (- (* 1 1) (* (* 3 a) (* 3 a)))))) (* (+ a 1) (- 1 (* 3 a)))) 1)) * * * * [misc]progress: [ 44 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (+ (- 1 (* 3 a)) (* (* a 9) a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ (pow 1 3) (pow (* 3 a) 3))))) (+ (- 1 (* 3 a)) (* (* a 9) a))) 1)) * * * * [misc]progress: [ 45 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* 3 a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (+ 1 (* -3 a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (- (* 1 1) (* (* 3 a) (* 3 a)))))) (+ 1 (* -3 a))) 1)) * * * * [misc]progress: [ 46 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* a a) (* 1 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (+ (* a a) (+ 1 a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- (pow 1 3) (pow a 3)) (+ 1 (* 3 a))))) (+ (* a a) (+ 1 a))) 1)) * * * * [misc]progress: [ 47 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ a 1) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- (* 1 1) (* a a)) (+ 1 (* 3 a))))) (+ a 1)) 1)) * * * * [misc]progress: [ 48 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (pow b 4) (pow b 4)) (+ (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (* (- 1 a) (+ 1 (* 3 a))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))) 1)) * * * * [misc]progress: [ 49 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- 1 a) (+ 1 (* 3 a))))) (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) 1)) * * * * [misc]progress: [ 50 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (316 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ (* a a) (+ a 1)))) (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (pow (* (* a 9) a) 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ (* a a) (+ a 1)))) (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (pow (* (* a 9) a) 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 51 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (304 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (+ 1 a) (* a a))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* 729 (pow a 3)) (* (* a a) (- a))) (* (* b b) (- 1 (pow a 3))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (+ 1 a) (* a a))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* 729 (pow a 3)) (* (* a a) (- a))) (* (* b b) (- 1 (pow a 3))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 52 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (304 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (* a a) (+ a 1))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (* 729 (pow a 3))))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (* a a) (+ a 1))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (* 729 (pow a 3))))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 53 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (pow (* (* a a) 9) 3))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (pow (* (* a a) 9) 3))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 54 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (pow a 3) 729) (pow a 3)))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ (* a a) (+ a 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (+ a 1))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (pow a 3) 729) (pow a 3)))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ (* a a) (+ a 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (+ a 1))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 55 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4) (+ (* (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4) (+ (* (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 56 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (302 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* (pow a 3) 729) (* (* a a) (- a))) (* (* b b) (- 1 (pow a 3))))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ (+ 1 a) (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* (pow a 3) 729) (* (* a a) (- a))) (* (* b b) (- 1 (pow a 3))))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ (+ 1 a) (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 57 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))))) (* (+ (* (- 1 (* (* 729 (pow a 3)) (pow a 3))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (+ 1 a) (* a a))) (* (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))))) (* (+ (* (- 1 (* (* 729 (pow a 3)) (pow a 3))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (+ 1 a) (* a a))) (* (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 58 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (88 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- 1 (* a a)) (* b b))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) 4)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (+ 1 a) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3))) (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- 1 (* a a)) (* b b))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) 4)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (+ 1 a) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3))) (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 59 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* 729 (* (pow a 3) (pow a 3))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* 729 (* (pow a 3) (pow a 3))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 60 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ 1 a) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ 1 a) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 61 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* (+ 1 a) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* 729 (pow (* a a) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* (+ 1 a) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* 729 (pow (* a a) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 62 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ 1 a)) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow (* a a) 3)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* a a)) (* b b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ 1 a)) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow (* a a) 3)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* a a)) (* b b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 63 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 (* a a)) (+ 1 a))))) (* (* (* (+ (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 (* a a)) (+ 1 a))))) (* (* (* (+ (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 64 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (+ 1 a)))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (- 1 (pow (* (* 9 a) a) 3)) (* (* (* b b) (- 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (+ 1 a)))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (- 1 (pow (* (* 9 a) a) 3)) (* (* (* b b) (- 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 65 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* (* 9 a) a) 3))) (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)) (* (+ (* (* a a) (* a 3)) (* a a)) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (* a a))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* (* 9 a) a) 3))) (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)) (* (+ (* (* a a) (* a 3)) (* a a)) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (* a a))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 66 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (300 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 67 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (- 1 (pow a 4))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (- 1 (pow a 4))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 68 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* 9 (* a a)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a 3) (* a a)))) (- (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* 9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* 9 (* a a)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a 3) (* a a)))) (- (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* 9 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 69 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9)))))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ 1 (* (* a a) 9)) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9)))))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ 1 (* (* a a) 9)) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 70 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a a) 9))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ 1 (* (* a a) 9))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a a) 9))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ 1 (* (* a a) 9))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 71 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ 1 (* (* a a) 9)) (* (+ (* a a) (+ a 1)) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 (pow a 3)) (* (* b b) (+ 1 (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9))) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ 1 (* (* a a) 9)) (* (+ (* a a) (+ a 1)) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 (pow a 3)) (* (* b b) (+ 1 (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9))) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 72 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (+ 1 a) (* a a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* a a)) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a a) 9))))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))))) (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (+ 1 a) (* a a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* a a)) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a a) 9))))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))))) (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 73 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* a a) (+ a 1)) (* (+ 1 (* (* a a) 9)) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* a a) (+ a 1)) (* (+ 1 (* (* a a) 9)) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 74 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 75 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* a a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* a a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 76 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) (* (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) (* (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 77 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (* (+ (* a a) 1) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (+ (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* a a) 1) (- (* a a) (* (* a 3) (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (* (+ (* a a) 1) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (+ (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* a a) 1) (- (* a a) (* (* a 3) (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 78 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* a (* a 9)))) (+ 1 a)))) (* (+ (* (* (+ 1 (* a (* a 9))) (+ 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* a a)) (* b b))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* a (* a 9)))) (+ 1 a)))) (* (+ (* (* (+ 1 (* a (* a 9))) (+ 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* a a)) (* b b))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 79 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (+ (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (* (- 1 (* a a)) (+ (* a a) 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (* (+ (* a a) 1) (+ 1 a)) (+ 1 (* (* a a) 9))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (+ (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (* (- 1 (* a a)) (+ (* a a) 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (* (+ (* a a) 1) (+ 1 a)) (+ 1 (* (* a a) 9))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 80 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (+ (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (- 1 (* a a)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (+ (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (- 1 (* a a)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 81 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (+ 1 a) (* a a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))))) (* (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (* a a))))) (* (+ 1 (* (* a a) 9)) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (+ 1 a) (* a a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))))) (* (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (* a a))))) (* (+ 1 (* (* a a) 9)) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 82 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 83 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))))) (* (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* a (* 9 a))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))))) (* (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* a (* 9 a))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 84 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* 9 a) a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* a a) (+ a 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* 9 a) a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* a a) (+ a 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 85 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 86 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (* -9 (* a a)) 1) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (pow a 3))))) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (* -9 (* a a)) 1) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (pow a 3))))) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 87 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))) (* (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3)))) (+ (* -9 (* a a)) 1)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))) (* (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3)))) (+ (* -9 (* a a)) 1)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 88 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ 1 a) (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ 1 a) (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 89 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- (* a a) (* (* a a) (* a 3))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ (* a a) (+ a 1)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* a a) (+ a 1)) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- (* a a) (* (* a a) (* a 3))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ (* a a) (+ a 1)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* a a) (+ a 1)) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 90 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a a) 9)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* a a) (+ a 1)) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a a) 9)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* a a) (+ a 1)) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 91 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 92 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 93 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1)))) (* (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (+ 1 a))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1)))) (* (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (+ 1 a))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 94 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 a))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ 1 a)))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* (* a a) (* a 3)) (* a a)) (+ 1 a))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* a (* a 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 a))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ 1 a)))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* (* a a) (* a 3)) (* a a)) (+ 1 a))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* a (* a 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 95 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* a a) (+ 1 a)) (+ 1 a)))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* a a) (+ 1 a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* -9 (* a a)) 1) (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a))))) (* (+ (* (* a a) (* a 3)) (* a a)) (* (- 1 (pow a 4)) (+ 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* a a) (+ 1 a)) (+ 1 a)))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* a a) (+ 1 a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* -9 (* a a)) 1) (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a))))) (* (+ (* (* a a) (* a 3)) (* a a)) (* (- 1 (pow a 4)) (+ 1 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 96 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (+ 1 a) (* a a)) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (+ 1 a) (* a a)) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 97 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (- 1 (* a a)) (* b b)) (* (- 1 (* (* a a) 9)) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (- 1 (* a a)) (* b b)) (* (- 1 (* (* a a) 9)) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 98 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 (pow (* (* a 9) a) 3)) (* (- 1 a) (* b b))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 (pow (* (* a 9) a) 3)) (* (- 1 a) (* b b))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 99 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (+ (* (* 27 a) (* a a)) 1)) (* (- 1 (pow a 3)) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))))) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (pow a 4))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (* b b) (- 1 a)) (- 1 (pow (* (* a a) 9) 3))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (+ (* (* 27 a) (* a a)) 1)) (* (- 1 (pow a 3)) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))))) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (pow a 4))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (* b b) (- 1 a)) (- 1 (pow (* (* a a) 9) 3))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 100 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (+ (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* b b) (- 1 a))))) (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (+ (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* b b) (- 1 a))))) (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 101 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* (* 9 a) a) 3))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* (* 9 a) a) 3))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 102 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 103 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 a))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (pow a 4))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ 1 (* a a)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 a))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (pow a 4))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ 1 (* a a)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 104 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))))) (* (* (- 1 a) (* b b)) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))))) (* (* (- 1 a) (* b b)) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 105 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3))))) (* (- 1 (* a a)) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3))))) (* (- 1 (* a a)) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 106 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 107 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) 1) (+ 1 (* 9 (* a a))))))) (* (* (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1)) (* (* (- 1 a) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) 1) (+ 1 (* 9 (* a a))))))) (* (* (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1)) (* (* (- 1 a) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 108 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- 1 a) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 1 (* 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- 1 a) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 1 (* 9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 109 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* 9 (* a a))) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* 9 (* a a))) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 110 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 a)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ 1 (* 9 (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* 9 (* a a))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 a)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ 1 (* 9 (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* 9 (* a a))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 111 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4) (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 a)) (+ (* a a) 1))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow a 4))) (+ 1 (* 9 (* a a)))))))) (* (* (* (+ (* a a) 1) (+ 1 (* 9 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (+ (* (* 27 a) (* a a)) 1)) (* (- 1 (pow a 3)) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4) (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 a)) (+ (* a a) 1))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow a 4))) (+ 1 (* 9 (* a a)))))))) (* (* (* (+ (* a a) 1) (+ 1 (* 9 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (+ (* (* 27 a) (* a a)) 1)) (* (- 1 (pow a 3)) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 112 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ 1 (* 9 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (* (* (* (- 1 a) (* b b)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ 1 (* 9 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (* (* (* (- 1 a) (* b b)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 113 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 a)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 (* 9 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 a)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 (* 9 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 114 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (+ (pow (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) 3) (pow (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) 3))) (* (* (+ (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (- (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))))) (* (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (+ (pow (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) 3) (pow (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) 3))) (* (* (+ (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (- (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))))) (* (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 115 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (- (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a)))))) (* (* (+ (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1))) (- (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (- (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a)))))) (* (* (+ (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1))) (- (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 116 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (88 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ (* a a) (+ a 1)))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ (* a a) (+ a 1)))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 117 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (312 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (- 1 (pow a 4))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (+ 1 a) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (+ (* a a) 1) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (- 1 (pow a 4))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (+ 1 a) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (+ (* a a) 1) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 118 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (312 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (+ (* a a) (+ a 1)) (- (* a a) (* (* a a) (* a 3))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 1 (* (* 729 (pow a 3)) (pow a 3))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ (* a a) (+ a 1))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (+ (* a a) (+ a 1)) (- (* a a) (* (* a a) (* a 3))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 1 (* (* 729 (pow a 3)) (pow a 3))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ (* a a) (+ a 1))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 119 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (* (- 1 (pow a 4)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (+ 1 a) (* a a)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) 1)) (- 1 (* 729 (pow (* a a) 3)))) (* (* b b) (- 1 (pow a 3)))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (* (- 1 (pow a 4)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (+ 1 a) (* a a)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) 1)) (- 1 (* 729 (pow (* a a) 3)))) (* (* b b) (- 1 (pow a 3)))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 120 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (300 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2))))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (+ (+ 1 a) (* a a)) (+ (* (* a 3) (* a a)) (* a a))))) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3))))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2))))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (+ (+ 1 a) (* a a)) (+ (* (* a 3) (* a a)) (* a a))))) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3))))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 121 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) 1) (+ (* a a) (+ a 1))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (- 1 (pow (* (* 9 a) a) 3)) (* (+ (* a a) 1) (* (* b b) (- 1 (pow a 3))))))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) 1) (+ (* a a) (+ a 1))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (- 1 (pow (* (* 9 a) a) 3)) (* (+ (* a a) 1) (* (* b b) (- 1 (pow a 3))))))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 122 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (* a a) (+ a 1)))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (* a a) (+ a 1)))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 123 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (+ a 1))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (+ a 1))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 124 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (90 enodes) * * [misc]simplify: iters left: 5 (329 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (pow a 3) 729) (pow a 3))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (pow a 3) 729) (pow a 3))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 125 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (88 enodes) * * [misc]simplify: iters left: 5 (317 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ 1 a) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (+ (* (* 27 a) (* a a)) 1)) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (+ (* (* (* (* (- 1 (* a a)) (* b b)) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ 1 a) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (+ (* (* 27 a) (* a a)) 1)) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (+ (* (* (* (* (- 1 (* a a)) (* b b)) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 126 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (87 enodes) * * [misc]simplify: iters left: 5 (317 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ 1 a)) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* a a)) (- 1 (* (* (pow a 3) 729) (pow a 3)))) (* (* b b) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))))) (* (* (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ 1 a)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ 1 a)) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* a a)) (- 1 (* (* (pow a 3) 729) (pow a 3)))) (* (* b b) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))))) (* (* (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ 1 a)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 127 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (302 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 a) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* b b) (- 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (* (+ 1 a) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 a) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* b b) (- 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (* (+ 1 a) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 128 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 a))) (* (- 1 (pow (* (* 9 a) a) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 a))) (* (- 1 (pow (* (* 9 a) a) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 129 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (* a a) 1) (+ 1 a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (* (- 1 (* a a)) b) (* b (+ (* a a) 1))) (- 1 (* 729 (pow (* a a) 3))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (* a a) 1) (+ 1 a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (* (- 1 (* a a)) b) (* b (+ (* a a) 1))) (- 1 (* 729 (pow (* a a) 3))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 130 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (314 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (+ (* (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (- 1 (* 729 (pow (* a a) 3))) (- 1 (* a a))) (* (* b b) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))))) (* (* (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (+ (* (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (- 1 (* 729 (pow (* a a) 3))) (- 1 (* a a))) (* (* b b) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))))) (* (* (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 131 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (+ (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 a)) (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* a a) (* (* a a) (* a 3))))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (* a a)))))) (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (+ (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 a)) (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* a a) (* (* a a) (* a 3))))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (* a a)))))) (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 132 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)))) (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)))) (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 133 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (- 1 (pow a 4))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (- 1 (pow a 4))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 134 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- 1 (pow a 3)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- 1 (pow a 3)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 135 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)))) (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow a 4)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- 1 (pow a 3))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)))) (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow a 4)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- 1 (pow a 3))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 136 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* a (* 9 a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 a) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 (* a (* 9 a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 a) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 137 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 (* a (* 9 a))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))))))) (* (+ (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (- 1 (pow a 4)) (+ (* a a) (* (* a 3) (* a a))))) (* (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 (* a (* 9 a))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))))))) (* (+ (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (- 1 (pow a 4)) (+ (* a a) (* (* a 3) (* a a))))) (* (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 138 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (* (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (- 1 (* a a))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (* (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (- 1 (* a a))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 139 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (pow a 3))))) (* (- 1 (* a a)) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1)))))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (* (- (* a a) (* (* a a) (* a 3))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (pow a 3))))) (* (- 1 (* a a)) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1)))))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (* (- (* a a) (* (* a a) (* a 3))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 140 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (87 enodes) * * [misc]simplify: iters left: 5 (313 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (* (- 1 (* a a)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (* (- 1 (* a a)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 141 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ 1 (* a (* 9 a)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (+ (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ 1 (* a (* 9 a)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (+ (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 142 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (+ (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3)))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- 1 (* a a)))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (+ (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3)))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- 1 (* a a)))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 143 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (- 1 (* a a)) (* b b)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* a (* 9 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (- 1 (* a a)) (* b b)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* a (* 9 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 144 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 145 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a)))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a)))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (+ 1 (* a a)) (+ 1 a)) (+ 1 (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a)))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a)))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (+ 1 (* a a)) (+ 1 a)) (+ 1 (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 146 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (+ (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (* a a)) (* b b))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (+ (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (* a a)) (* b b))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 147 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 148 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (+ a 1)))) (* (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a a) 9))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (* a a) (+ a 1))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (+ a 1)))) (* (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a a) 9))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (* a a) (+ a 1))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 149 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 9 (* a a))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 9 (* a a))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 150 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 9 (* a a))))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (+ 1 a) (* a a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 9 (* a a))))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (+ 1 a) (* a a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 151 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (- (* a a) (* (* a a) (* a 3))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (- (* a a) (* (* a a) (* a 3))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 152 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* (* a 3) (* a a)) (* a a)) (+ (* a a) (+ a 1)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* -9 (* a a)) 1)) (* (* b b) (- 1 (pow a 3)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* (* a 3) (* a a)) (* a a)) (+ (* a a) (+ a 1)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* -9 (* a a)) 1)) (* (* b b) (- 1 (pow a 3)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 153 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (+ (* (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))) (* (* b b) (+ 1 (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (+ (* (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))) (* (* b b) (+ 1 (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 154 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (+ 1 a) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* a (* 9 a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (+ 1 a) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* a (* 9 a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 155 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 156 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a))))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 a) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a))))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 a) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 157 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a)))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a)))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 158 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))) (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ 1 a) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))) (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ 1 a) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 159 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1)))) (* (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4)) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ 1 a))))))) (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1)))) (* (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4)) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ 1 a))))))) (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 160 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (- 1 (* (* 9 a) a)) (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a 3) (* a a)) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (- 1 (* (* 9 a) a)) (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a 3) (* a a)) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 161 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (+ (* (+ 1 (* a a)) (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 a) (+ 1 (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (+ (* (+ 1 (* a a)) (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 a) (+ 1 (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 162 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (+ (* (+ 1 a) (pow a 4)) (* (* (+ 1 a) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (+ (* (* (- 1 (* 9 (* a a))) (* (- 1 (* a a)) (* b b))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (+ (* (+ 1 a) (pow a 4)) (* (* (+ 1 a) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (+ (* (* (- 1 (* 9 (* a a))) (* (- 1 (* a a)) (* b b))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 163 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ 1 a) (- (* a a) (* (* a 3) (* a a))))))) (* (* (* (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 a))) (* (- 1 (* a (* a 9))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ 1 a) (- (* a a) (* (* a 3) (* a a))))))) (* (* (* (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 a))) (* (- 1 (* a (* a 9))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 164 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (88 enodes) * * [misc]simplify: iters left: 5 (315 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4))) (+ (* (* (* (* (- 1 a) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (- 1 (* 729 (pow (* a a) 3)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4))) (+ (* (* (* (* (- 1 a) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (- 1 (* 729 (pow (* a a) 3)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 165 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1)))) (* (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4)))) (+ (* (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (pow a 4))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (* (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (- 1 a) (* b b))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3))) (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1)))) (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1)))) (* (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4)))) (+ (* (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (pow a 4))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (* (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (- 1 a) (* b b))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1))))) (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3))) (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1)))) (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 166 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) 4))) (+ (* (* (- 1 a) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (* b b) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) 4))) (+ (* (* (- 1 a) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (* b b) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 167 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) 1)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) 1)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 168 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3)))) (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (- 1 a) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3)))) (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (- 1 a) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 169 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3)))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- 1 (* 729 (pow (* a a) 3))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ (* a a) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3)))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- 1 (* 729 (pow (* a a) 3))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ (* a a) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 170 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))))) (* (+ (* (- 1 (* a a)) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (- 1 a)) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))))) (* (+ (* (- 1 (* a a)) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (- 1 a)) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 171 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (- 1 (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (- 1 (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 172 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 173 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 a))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 a))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 174 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ 1 (* a (* 9 a))))) (* (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (- 1 a) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ 1 (* a (* 9 a))))) (* (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (- 1 a) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 175 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (+ (* (* 27 a) (* a a)) 1)) (* (- 1 (pow a 3)) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ 1 (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (+ (* (* 27 a) (* a a)) 1)) (* (- 1 (pow a 3)) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ 1 (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 176 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* (* a a) 9)) (- 1 (pow (* a a) 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (- 1 a) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 (* (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* (* a a) 9)) (- 1 (pow (* a a) 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (- 1 a) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 (* (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 177 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (+ 1 (* a a)) (+ 1 (* a (* 9 a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (* (+ (* (+ 1 (* a (* 9 a))) (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (+ 1 (* a a)) (+ 1 (* a (* 9 a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (* (+ (* (+ 1 (* a (* 9 a))) (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 178 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (- 1 a) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a (* 9 a))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (- 1 a) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a (* 9 a))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 179 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 (* a (* 9 a)))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1)))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a (* 9 a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 (* a (* 9 a)))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1)))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a (* 9 a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 180 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) 3) (pow (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) 3)) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a))))) (* (- (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a))))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (pow (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) 3) (pow (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) 3)) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a))))) (* (- (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a))))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 181 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (- (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (- (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (- (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (- (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 182 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (317 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))) (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* b b) (- 1 (pow a 3))) 1) (* (* (* b b) (- 1 (pow a 3))) (* (* (pow a 3) 729) (- (pow a 3)))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))) (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* b b) (- 1 (pow a 3))) 1) (* (* (* b b) (- 1 (pow a 3))) (* (* (pow a 3) 729) (- (pow a 3)))))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 183 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a)))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (+ (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow a 4))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))))) (* (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* 729 (pow a 3)) (* (- a) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a)))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (+ (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow a 4))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))))) (* (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* 729 (pow a 3)) (* (- a) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 184 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* a a) (+ a 1)) (- (* a a) (* (* a 3) (* a a)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (* a (* 9 a)) 3)) (* (* b b) (- 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* a a) (+ a 1)) (- (* a a) (* (* a 3) (* a a)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (* a (* 9 a)) 3)) (* (* b b) (- 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 185 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))) (+ 1 (* a a))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))) (+ 1 (* a a))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 186 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (pow a 3) 729) (pow a 3)))) (* (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (+ (+ 1 a) (* a a)))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (pow a 3) 729) (pow a 3)))) (* (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (+ (+ 1 a) (* a a)))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 187 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3))))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))))))) (* (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a a)))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3))))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))))))) (* (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a a)))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 188 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (* (* (* b b) (- 1 (pow a 3))) 1) (* (* (* b b) (- 1 (pow a 3))) (* (* 729 (pow a 3)) (* (* a a) (- a))))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 a) (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (* (* (* b b) (- 1 (pow a 3))) 1) (* (* (* b b) (- 1 (pow a 3))) (* (* 729 (pow a 3)) (* (* a a) (- a))))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 a) (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 189 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (+ a 1)))))) (* (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (+ a 1)))))) (* (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 190 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (88 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (- 1 (* a a)) (* b b)))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (- 1 (* a a)) (* b b)))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 191 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (- 1 (* a a)) (* b b))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (- 1 (* a a)) (* b b))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 192 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 193 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))))) (* (* (- 1 (* a a)) (* b b)) (* (- 1 (pow (* a (* 9 a)) 3)) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))))) (* (* (- 1 (* a a)) (* b b)) (* (- 1 (pow (* a (* 9 a)) 3)) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 194 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (+ 1 a) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (pow (* a (* 9 a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (+ 1 a) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (pow (* a (* 9 a)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 195 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (* (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 a) (+ 1 (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (* (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 a) (+ 1 (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 196 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (* a a))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* a (* 9 a)) 3))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (* a a))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* a (* 9 a)) 3))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 197 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (* a a)) (* b b))) (- 1 (pow (* a (* 9 a)) 3))) (* (* (- 1 (* a a)) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 a) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (* a a)) (* b b))) (- 1 (pow (* a (* 9 a)) 3))) (* (* (- 1 (* a a)) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 a) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 198 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (+ (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))))) (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (+ (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))))) (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 199 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ 1 (* (* a 9) a)))) (* (* (+ (* (- 1 (pow a 4)) (* (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* a a) (+ a 1)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ 1 (* (* a 9) a)))) (* (* (+ (* (- 1 (pow a 4)) (* (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* a a) (+ a 1)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 200 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a)))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a)))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 201 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ 1 (* (* a 9) a)))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ 1 (* (* a 9) a)))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 202 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (pow (* a a) 3))) (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1)))))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (pow (* a a) 3))) (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1)))))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 203 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ 1 (* (* a 9) a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (* (* (* (+ 1 (* a a)) (+ (* a a) (+ a 1))) (+ 1 (* (* a 9) a))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ 1 (* (* a 9) a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (* (* (* (* (+ 1 (* a a)) (+ (* a a) (+ a 1))) (+ 1 (* (* a 9) a))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 204 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (+ (* (+ 1 (* (* a 9) a)) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (+ (* (+ 1 (* (* a 9) a)) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 205 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ 1 (* (* a 9) a)) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ 1 (* (* a 9) a)) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 206 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)))) (* (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)))) (* (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 207 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (* (* 27 a) (* a a)) 1)) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (+ 1 (* a a)))) (* (+ (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 (* a a)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (* (* 27 a) (* a a)) 1)) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (+ 1 (* a a)))) (* (+ (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 (* a a)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 208 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* 9 (* a a))) (+ 1 a))))) (* (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* 9 (* a a))) (+ 1 a))))) (* (* (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 209 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (pow a 4)))) (* (* (- 1 (* a a)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (* (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ 1 (* 9 (* a a)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (pow a 4)))) (* (* (- 1 (* a a)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (* (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ 1 (* 9 (* a a)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 210 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* (* a 9) a)) (+ 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- 1 (* a a)) (* b b)) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 1 (* (* a 9) a)) (+ 1 a))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* (* a 9) a)) (+ 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- 1 (* a a)) (* b b)) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 1 (* (* a 9) a)) (+ 1 a))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 211 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ 1 (* 9 (* a a))) (* (+ 1 (* a a)) (+ 1 a)))))) (* (* (* (+ (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ 1 (* 9 (* a a))) (* (+ 1 (* a a)) (+ 1 a)))))) (* (* (* (+ (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 212 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (* a a))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (* (* (- 1 (* a a)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (* (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (* a a))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (* (* (- 1 (* a a)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (* (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 213 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ 1 a) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ 1 a) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* 9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 214 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 215 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (- 1 (* a (* 9 a))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (- 1 (* a (* 9 a))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 216 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* 9 a) a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (* a a) (* (* a a) (* a 3)))) (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* 9 a) a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (* a a) (* (* a a) (* a 3)))) (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 217 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 218 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (* -9 (* a a)) 1) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 1 a) (* a a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (* -9 (* a a)) 1) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 1 a) (* a a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 219 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))) (* (* (+ 1 (* a a)) (+ (* -9 (* a a)) 1)) (* (* b b) (- 1 (pow a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))) (* (* (+ 1 (* a a)) (+ (* -9 (* a a)) 1)) (* (* b b) (- 1 (pow a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 220 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (* a a) (+ a 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (* a a) (+ a 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 221 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* a (* a 9)))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (* a a) (+ a 1)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* a (* a 9)))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (* a a) (+ a 1)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 222 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (+ 1 a) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a a) 9)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (+ 1 a) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a a) 9)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 223 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ 1 a))))) (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- 1 (* (* a 9) a)) (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ 1 a))))) (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- 1 (* (* a 9) a)) (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 224 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 225 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a)))))) (* (+ (* (* (+ 1 a) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a)))))) (* (+ (* (* (+ 1 a) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 226 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ (* a a) 1)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 1 a) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* a (* a 9))) (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ (* a a) 1)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 1 a) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* a (* a 9))) (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 227 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))) (+ 1 (* a a))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ (+ 1 a) (* (* a a) (+ 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))) (+ 1 (* a a))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ (+ 1 a) (* (* a a) (+ 1 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 228 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ 1 a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 229 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (* (- (* a a) (* (* a a) (* a 3))) (- 1 (* (* a a) 9))) (* (- 1 (* a a)) (* b b))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (* (- (* a a) (* (* a a) (* a 3))) (- 1 (* (* a a) 9))) (* (- 1 (* a a)) (* b b))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 230 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (- 1 a) (* b b)))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (- 1 a) (* b b)))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 231 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (- 1 (pow a 4))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (* (* b b) (- 1 a)) (- 1 (pow (* a (* 9 a)) 3))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ 1 (* a a)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (- 1 (pow a 4))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (* (* b b) (- 1 a)) (- 1 (pow (* a (* 9 a)) 3))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ 1 (* a a)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 232 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (* b b) (- 1 a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (* b b) (- 1 a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 233 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ (* (pow a 4) (- 1 (pow a 4))) (* (* (* (* a 3) (pow a 4)) (- (* a 3))) (- 1 (pow a 4))))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ (* (pow a 4) (- 1 (pow a 4))) (* (* (* (* a 3) (pow a 4)) (- (* a 3))) (- 1 (pow a 4))))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 234 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 a))) (- 1 (* (pow a 3) (* (pow a 3) 729)))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 a))) (- 1 (* (pow a 3) (* (pow a 3) 729)))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 235 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (+ 1 (* a a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (+ 1 (* a a)) (* (* b b) (- 1 a)))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow a 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (+ 1 (* a a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (+ 1 (* a a)) (* (* b b) (- 1 a)))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow a 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 236 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (* (- 1 a) (- 1 (pow (* a (* a 9)) 3))) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (* (- 1 a) (- 1 (pow (* a (* a 9)) 3))) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 237 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (- (* a a) (* (* a a) (* a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (- (* a a) (* (* a a) (* a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 238 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ 1 (* 9 (* a a))))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 (* 9 (* a a))))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ 1 (* 9 (* a a))))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 (* 9 (* a a))))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 239 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) 1) (+ 1 (* 9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) 1) (+ 1 (* 9 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 240 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ 1 (* (* a 9) a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* (* a 9) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ 1 (* (* a 9) a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* (* a 9) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 241 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ 1 (* 9 (* a a))) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ 1 (* 9 (* a a))) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 242 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ 1 (* (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ 1 (* (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ 1 (* (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ 1 (* (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* a a) (+ a 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 243 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ 1 (* 9 (* a a))) (+ (* a a) 1))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (+ (* (* (+ (* a a) 1) (* (* b b) (- 1 a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow a 4))) (+ 1 (* 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (* (+ 1 (* 9 (* a a))) (+ (* a a) 1))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (+ (* (* (+ (* a a) 1) (* (* b b) (- 1 a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow a 4))) (+ 1 (* 9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 244 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (+ 1 (* 9 (* a a))))) (* (* (* (- 1 a) (* b b)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ 1 (* 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (+ 1 a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (+ 1 (* 9 (* a a))))) (* (* (* (- 1 a) (* b b)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ 1 (* 9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 245 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 246 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) 3) (pow (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) 3)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (+ (* (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) (- (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))))) (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) 3) (pow (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) 3)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (+ (* (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) (- (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))))) (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 247 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) (* (* (* (- 1 (pow a 3)) (+ (* (* 27 a) (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) 1)) * * * * [misc]progress: [ 248 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (* a a) (+ a 1)) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) 4))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))))) 1)) * * * * [misc]progress: [ 249 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (pow 1 3) (pow a 3))))) (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (+ 1 a) (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) 1)) * * * * [misc]progress: [ 250 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (88 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (+ (* 1 (* (- 1 (pow a 3)) (* b b))) (* (* (* 729 (pow a 3)) (- (pow a 3))) (* (- 1 (pow a 3)) (* b b)))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (+ (* a a) (+ a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (+ (* 1 (* (- 1 (pow a 3)) (* b b))) (* (* (* 729 (pow a 3)) (- (pow a 3))) (* (- 1 (pow a 3)) (* b b)))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (+ (* a a) (+ a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 251 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* 729 (pow (* a a) 3)))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) (* (* (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* 729 (pow (* a a) 3)))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) (* (* (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 252 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* a a) (+ a 1)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (pow (* (* a 9) a) 3))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* a a) (+ a 1)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (pow (* (* a 9) a) 3))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 253 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (- 1 (pow a 4)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (- 1 (pow a 4)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 254 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))) (+ (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))) (+ (* a a) (+ a 1))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (pow a 3)) (* b b))) (- 1 (* 729 (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))) (+ (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))) (+ (* a a) (+ a 1))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (pow a 3)) (* b b))) (- 1 (* 729 (* (pow a 3) (pow a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 255 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 256 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (- 1 (pow a 3))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (+ (* a a) (+ a 1)) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (- 1 (pow a 3))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (+ (* a a) (+ a 1)) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 257 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (* (* 27 a) (* a a)) 1) (- 1 (* a a))))) (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (* (* 27 a) (* a a)) 1) (- 1 (* a a))))) (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 258 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (312 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (+ 1 a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (- 1 (* 729 (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (+ 1 a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (- 1 (* 729 (* (pow a 3) (pow a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 259 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* a a)) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)))) (* (+ (* (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (* (* a a) (* a a)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a))) (* (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (- 1 (pow (* (* a 9) a) 3)))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* a a)) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)))) (* (+ (* (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (* (* a a) (* a a)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a))) (* (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (- 1 (pow (* (* a 9) a) 3)))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 260 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (300 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* 9 (* a a)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (+ 1 a)) (* (+ (* a a) (* (* a 3) (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4)) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ 1 a) (- (* a a) (* (* a 3) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* 9 (* a a)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (+ 1 a)) (* (+ (* a a) (* (* a 3) (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4)) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ 1 a) (- (* a a) (* (* a 3) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 261 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (pow a 3) 729) (pow a 3))))) (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (pow a 3) 729) (pow a 3))))) (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 262 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (pow (* (* a 9) a) 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 1 a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (pow (* (* a 9) a) 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 1 a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 263 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 a) (+ 1 (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a)))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 a) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 a) (+ 1 (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a)))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 a) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 264 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a 9) a) 3))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a 9) a) 3))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 265 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (* a a)) (* b b))) (- 1 (pow (* (* a 9) a) 3))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (* a a)) (* b b))) (- 1 (pow (* (* a 9) a) 3))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 266 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a))))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a))))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 267 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ 1 (* (* a 9) a))))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (+ 1 (* (* a 9) a))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ 1 (* (* a 9) a))))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (+ 1 (* (* a 9) a))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 268 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (+ 1 (* (* a 9) a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (+ 1 (* (* a 9) a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 269 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* (* a 9) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ 1 (* (* a 9) a)) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* (* a 9) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ 1 (* (* a 9) a)) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 270 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* (* a 9) a))) (+ (+ 1 a) (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow a 3)) (* b b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* (* a 9) a))) (+ (+ 1 a) (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow a 3)) (* b b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 271 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* (* a 9) a)) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a))) (* (- 1 (pow a 4)) (+ (* a a) (* (* a 3) (* a a))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- 1 (pow a 3)) (* (* b b) (+ 1 (* a a))))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* (* a 9) a)) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a))) (* (- 1 (pow a 4)) (+ (* a a) (* (* a 3) (* a a))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- 1 (pow a 3)) (* (* b b) (+ 1 (* a a))))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 272 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- 1 (* a a)) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a))))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a)))) (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- 1 (* a a)) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a))))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a)))) (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 273 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (+ a 1)) (* (+ 1 (* (* a 9) a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (+ (* (* 27 a) (* a a)) 1) (- 1 (* a a)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a)))))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) (+ a 1)) (* (+ 1 (* (* a 9) a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (+ (* (* 27 a) (* a a)) 1) (- 1 (* a a)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a)))))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 274 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4))) (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))) (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4))) (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))) (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 275 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (+ 1 (* a a))) (* (- 1 (* (* a a) (* a a))) (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (+ 1 (* a a))) (* (- 1 (* (* a a) (* a a))) (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 276 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (* (+ 1 a) (+ 1 (* 9 (* a a)))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (- 1 (pow (* a a) 3))))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ 1 (* 9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (* (+ 1 a) (+ 1 (* 9 (* a a)))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (- 1 (pow (* a a) 3))))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ 1 (* 9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 277 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 a) (+ 1 (* (* a 9) a)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ 1 (* a a)) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (- 1 (* (* a a) (* a a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (+ 1 a) (+ 1 (* (* a 9) a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 a) (+ 1 (* (* a 9) a)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ 1 (* a a)) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (- 1 (* (* a a) (* a a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (+ 1 a) (+ 1 (* (* a 9) a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 278 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 1 (* (* a 9) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (+ 1 (* (* a 9) a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 1 (* (* a 9) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (+ 1 (* (* a 9) a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 279 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ 1 (* a a))) (+ 1 (* (* a 9) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ 1 (* a a))) (+ 1 (* (* a 9) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 280 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 a) (+ 1 (* (* a 9) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a)))))) (* (+ (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 a) (+ 1 (* (* a 9) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a)))))) (* (+ (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 281 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (* (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (+ 1 a) (+ 1 (* (* a 9) a)))) (- 1 (* a a)))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (* (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (+ 1 a) (+ 1 (* (* a 9) a)))) (- 1 (* a a)))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 282 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 283 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (+ 1 (* -9 (* a a))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (+ 1 (* -9 (* a a))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 284 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (* (+ (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 (pow a 3)) (* b b))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (* (+ (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 (pow a 3)) (* b b))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 285 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (+ (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (+ (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 286 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (* a a) (+ a 1)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* -9 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (* a a) (+ a 1)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* -9 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 287 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 9 (* a a)))) (+ 1 (* a a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 9 (* a a)))) (+ 1 (* a a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 288 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (+ (* a a) (+ a 1)) (pow a 4)) (* (* (+ (* a a) (+ a 1)) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ (* a a) (+ a 1))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (+ (* a a) (+ a 1)) (pow a 4)) (* (* (+ (* a a) (+ a 1)) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ (* a a) (+ a 1))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 289 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (* (- 1 (* a a)) (+ (* a a) (+ a 1)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (* (- 1 (* a a)) (+ (* a a) (+ a 1)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 290 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ 1 a) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ 1 a) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 291 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 292 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 1 a)) (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 1 a)) (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 293 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 a))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 a))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 294 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- 1 (* 9 (* a a)))) (* (* b b) (- 1 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ 1 (* a a)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- 1 (* 9 (* a a)))) (* (* b b) (- 1 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ 1 (* a a)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 295 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ 1 (* a a)) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a))))) (* (+ 1 a) (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* a a)) (+ 1 a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ 1 (* a a)) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a))))) (* (+ 1 a) (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* a a)) (+ 1 a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 296 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (+ 1 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* (+ 1 a) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a))) (* (* (* a a) (* a a)) (+ 1 a))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (+ 1 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* (+ 1 a) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a))) (* (* (* a a) (* a a)) (+ 1 a))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 297 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (+ (* (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* (* a a) 9))) (* (* b b) (- 1 (* a a)))) (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (+ (* (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* (* a a) 9))) (* (* b b) (- 1 (* a a)))) (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 298 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4))) (+ (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* b b) (- 1 a))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4))) (+ (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* b b) (- 1 a))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 299 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (* (* a a) (* a a))))) (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (- 1 (* 729 (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (* (* a a) (* a a))))) (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (- 1 (* 729 (* (pow a 3) (pow a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 300 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- 1 (pow (* (* a 9) a) 3)) (* (* b b) (- 1 a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (- 1 (* (pow a 3) (pow a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- 1 (pow (* (* a 9) a) 3)) (* (* b b) (- 1 a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 301 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (- 1 (* (* a a) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (- 1 (* (* a a) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 302 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 a)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 a)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 303 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (+ 1 (* a a)) (* (* b b) (- 1 a)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a)))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 (* a a))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (+ 1 (* a a)) (* (* b b) (- 1 a)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a)))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 (* a a))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 304 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (- 1 (* a a))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (* (- 1 a) (* b b)) (- 1 (* 729 (* (pow a 3) (pow a 3))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (- 1 (* a a))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (* (- 1 a) (* b b)) (- 1 (* 729 (* (pow a 3) (pow a 3))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 305 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 a))) (- 1 (pow (* (* 9 a) a) 3))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 a))) (- 1 (pow (* (* 9 a) a) 3))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 306 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 (* 9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 (* 9 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 307 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ 1 (* (* a 9) a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (+ 1 (* (* a 9) a)) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ 1 (* (* a 9) a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (+ 1 (* (* a 9) a)) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 308 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* 9 (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* 9 (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 309 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ 1 (* (* a 9) a)) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ 1 (* (* a 9) a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ 1 (* (* a 9) a)) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ 1 (* (* a 9) a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 310 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (+ 1 (* 9 (* a a)))) (- 1 (pow (* a a) 3))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (* 9 (* a a)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (+ 1 (* 9 (* a a)))) (- 1 (pow (* a a) 3))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (* 9 (* a a)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 311 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (+ 1 (* (* a 9) a))) (- 1 (* (* a a) (* a a)))) (* (* (+ 1 (* a a)) (* (* b b) (- 1 a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* a a)) (+ 1 (* (* a 9) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (+ 1 (* (* a 9) a))) (- 1 (* (* a a) (* a a)))) (* (* (+ 1 (* a a)) (* (* b b) (- 1 a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* a a)) (+ 1 (* (* a 9) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 312 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* (* a 9) a)) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a)))))) (* (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (+ (* (* (+ 1 (* (* a 9) a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (- 1 a))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* (* a 9) a)) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a)))))) (* (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (+ (* (* (+ 1 (* (* a 9) a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (- 1 a))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 313 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ 1 (* (* a 9) a)) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* (* a 9) a)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ 1 (* (* a 9) a)) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* (* a 9) a)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 314 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (- (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))))) (* (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))) (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))))))) (* (* (+ (pow (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) 3) (pow (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (- (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))))) (* (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))) (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))))))) (* (* (+ (pow (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) 3) (pow (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 315 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (- (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (- (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (- (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (- (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 316 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (90 enodes) * * [misc]simplify: iters left: 5 (329 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (* a a) (+ a 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (* a a) (+ a 1))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (- 1 (pow a 3)) (* b b))) (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (* a a) (+ a 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (* a a) (+ a 1))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (- 1 (pow a 3)) (* b b))) (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 317 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (88 enodes) * * [misc]simplify: iters left: 5 (317 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (* (- a) (* a a)))))) (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow a 4))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ (+ 1 a) (* a a))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (* (- a) (* a a)))))) (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow a 4))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ (+ 1 a) (* a a))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 318 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (87 enodes) * * [misc]simplify: iters left: 5 (317 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 319 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (302 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (+ 1 (* a a)) (* (- 1 (pow (* (* 9 a) a) 3)) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (+ 1 (* a a)) (* (- 1 (pow (* (* 9 a) a) 3)) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 320 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a 3) (* a a)))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ (+ 1 a) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (pow (* (* 9 a) a) 3)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a 3) (* a a)))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ (+ 1 a) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (pow (* (* 9 a) a) 3)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 321 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (+ 1 (* a a)) (* (- 1 (pow a 3)) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (+ 1 (* a a)) (* (- 1 (pow a 3)) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 322 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (314 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (+ 1 a) (* a a))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (- 1 (* 729 (pow (* a a) 3)))) (* (- 1 (pow a 3)) (* b b)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (+ 1 a) (* a a))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (- 1 (* 729 (pow (* a a) 3)))) (* (- 1 (pow a 3)) (* b b)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 323 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* 729 (pow (* a a) 3))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* 729 (pow (* a a) 3))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 324 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (320 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow (* (* a 9) a) 3)) (* (* b b) (- 1 (* a a)))))) (* (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))) (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow (* (* a 9) a) 3)) (* (* b b) (- 1 (* a a)))))) (* (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))) (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 325 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* a a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (+ 1 a)))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ 1 (* a a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (- 1 (pow (* (* a 9) a) 3)) (* (* b b) (- 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* a a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (+ 1 a)))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ 1 (* a a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (- 1 (pow (* (* a 9) a) 3)) (* (* b b) (- 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 326 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (* 729 (pow (* a a) 3)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (+ 1 a) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (* 729 (pow (* a a) 3)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (* (+ 1 a) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 327 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (+ (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (- 1 (* (* a a) (* a a))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (- 1 (* 729 (pow (* a a) 3)))) (* (* b b) (- 1 (* a a))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (+ (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (- 1 (* (* a a) (* a a))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (- 1 (* 729 (pow (* a a) 3)))) (* (* b b) (- 1 (* a a))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 328 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (+ (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ 1 a)) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* (pow a 3) 729) (pow a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (+ (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (+ 1 a)) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* (pow a 3) 729) (pow a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 329 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- 1 (* (* a a) (* a a))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ 1 a) (+ (* a a) (* (* a 3) (* a a)))))) (* (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a)))) (- 1 (pow (* (* a 9) a) 3)))) (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- 1 (* (* a a) (* a a))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ 1 a) (+ (* a a) (* (* a 3) (* a a)))))) (* (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a)))) (- 1 (pow (* (* a 9) a) 3)))) (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 330 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (304 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)))) (* (* (+ (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)))) (* (* (+ (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 331 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a)))) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (* a a))))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a)))) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (* a a))))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 332 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (87 enodes) * * [misc]simplify: iters left: 5 (313 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (+ (* (* a 9) a) 1)) (* (* (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- 1 (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a 9) a) 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (+ (* (* a 9) a) 1)) (* (* (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- 1 (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a 9) a) 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 333 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ 1 a) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a 9) a) 1)) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* a 9) a) 1)) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ 1 a) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a 9) a) 1)) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* a 9) a) 1)) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 334 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ (* (* a 9) a) 1)) (* (+ (+ 1 a) (* a a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (* (* a 9) a) 1))) (* (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ (* (* a 9) a) 1)) (* (+ (+ 1 a) (* a a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (* (* a 9) a) 1))) (* (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 335 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (+ (* (* a 9) a) 1)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (* a a) (+ a 1)) (+ (* (* a 9) a) 1)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (+ (* (* a 9) a) 1)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (* a a) (+ a 1)) (+ (* (* a 9) a) 1)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 336 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (+ (+ 1 a) (* a a)) (+ (* (* a 9) a) 1)) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow a 3)) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (* (* a 9) a) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (+ (+ 1 a) (* a a)) (+ (* (* a 9) a) 1)) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow a 3)) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (* (* a 9) a) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 337 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- 1 (pow a 3)) (* (* b b) (+ 1 (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a 9) a) 1)) (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (* (* a 9) a) 1) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- 1 (pow a 3)) (* (* b b) (+ 1 (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a 9) a) 1)) (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (* (* a 9) a) 1) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 338 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (+ a 1)) (+ (* (* a 9) a) 1))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 (pow a 3))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (* a a) (+ a 1)) (+ (* (* a 9) a) 1)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (+ a 1)) (+ (* (* a 9) a) 1))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 (pow a 3))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (* a a) (+ a 1)) (+ (* (* a 9) a) 1)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 339 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a 9) a) 1) (* (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (- 1 (* a a)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ (* (* a 9) a) 1)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a 3) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a 9) a) 1) (* (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (- 1 (* a a)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ (* (* a 9) a) 1)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a 3) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 340 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (304 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (+ (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (- 1 (pow (* a a) 3)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))))) (* (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (+ (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (- 1 (pow (* a a) 3)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))))) (* (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 341 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ 1 (* a a)) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) 4)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (+ 1 a) (+ (* (* a 9) a) 1))) (* (+ 1 (* a a)) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ 1 (* a a)) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) 4)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (+ 1 a) (+ (* (* a 9) a) 1))) (* (+ 1 (* a a)) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 342 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 a) (+ (* (* a 9) a) 1))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- 1 (* a a)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* b b) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 a) (+ (* (* a 9) a) 1))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- 1 (* a a)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* b b) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 343 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (* (+ (* (* a 9) a) 1) (- (* a a) (* (* a 3) (* a a))))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (+ (* (* a 9) a) 1) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))) (* (+ 1 (* a a)) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (* (+ (* (* a 9) a) 1) (- (* a a) (* (* a 3) (* a a))))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (+ (* (* a 9) a) 1) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))) (* (+ 1 (* a a)) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 344 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 a) (+ (* (* a 9) a) 1)))))) (* (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 a) (+ (* (* a 9) a) 1))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 a) (+ (* (* a 9) a) 1)))))) (* (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 a) (+ (* (* a 9) a) 1))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 345 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a))))) (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 a) (+ (* (* a 9) a) 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (* (* a 9) a) 1) (* (+ 1 a) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a))))) (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 a) (+ (* (* a 9) a) 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (* (* a 9) a) 1) (* (+ 1 a) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 346 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 a) (+ (* (* a 9) a) 1))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))))) (* (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (+ 1 a) (+ (* (* a 9) a) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 a) (+ (* (* a 9) a) 1))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))))) (* (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (+ 1 a) (+ (* (* a 9) a) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 347 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (+ 1 a) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (+ (* (* a 9) a) 1)))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 9) a) 1)) (+ 1 a)) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (+ 1 a) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (+ (* (* a 9) a) 1)))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 9) a) 1)) (+ 1 a)) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 348 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (+ a 1)))) (* (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (+ a 1)))) (* (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 349 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))))) (* (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (+ (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1))) (+ 1 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))))) (* (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (+ (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1))) (+ 1 (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 350 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)))) (* (+ (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* 9 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4)))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)))) (* (+ (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* 9 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4)))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 351 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (* (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (* (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 352 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))) (- 1 (* (pow a 3) (pow a 3))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))) (- 1 (* (pow a 3) (pow a 3))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 353 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (* (+ 1 (* a a)) (+ (* -9 (* a a)) 1)) (* (* b b) (- 1 (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (* (+ 1 (* a a)) (+ (* -9 (* a a)) 1)) (* (* b b) (- 1 (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 354 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (* (* (* a 2) a) (* b b)))) 4) (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* a (* 9 a))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* 27 a) (* a a)) 1) (- 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (* (* (* a 2) a) (* b b)))) 4) (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* a (* 9 a))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* 27 a) (* a a)) 1) (- 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (+ (+ 1 a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 355 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (+ (* (* 27 a) (* a a)) 1) (- 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1)))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1)) (* (* b b) (- (* a a) (* (* a 3) (* a a)))))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (+ (* (* 27 a) (* a a)) 1) (- 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1)))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1)) (* (* b b) (- (* a a) (* (* a 3) (* a a)))))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 356 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)) (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (* (* (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (+ 1 a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)) (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (* (* (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (+ 1 a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 357 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ 1 (* a a)) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* (* a a) (* a a))) (+ 1 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ 1 a)) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ 1 (* a a)) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* (* a a) (* a a))) (+ 1 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ 1 a)) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 358 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ 1 a) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b)))) (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ 1 a) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b)))) (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 359 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* a (* a 9))))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* a (* a 9))))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 360 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 (* -9 (* a a)))) (* (* b b) (- 1 (* a a)))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (+ 1 a)) (- 1 (pow (* a a) 3)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ (* a a) 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 (* -9 (* a a)))) (* (* b b) (- 1 (* a a)))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (+ 1 a)) (- 1 (pow (* a a) 3)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ (* a a) 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 361 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ 1 a) (+ 1 (* a a)))))) (* (* (+ (* (+ 1 (* -9 (* a a))) (* (* b (- 1 (* a a))) (* b (+ 1 (* a a))))) (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (* (* a a) (* a a))) (+ 1 a)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4)) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ 1 a) (+ 1 (* a a)))))) (* (* (+ (* (+ 1 (* -9 (* a a))) (* (* b (- 1 (* a a))) (* b (+ 1 (* a a))))) (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (* (* a a) (* a a))) (+ 1 a)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4)) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 362 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ 1 a) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4) (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ 1 (* -9 (* a a))) (* (- 1 (* a a)) (* b b)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ 1 a) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4) (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ 1 (* -9 (* a a))) (* (- 1 (* a a)) (* b b)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 363 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4) (+ (* (* (+ 1 a) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (* b b) (- (* a a) (* (* a a) (* a 3)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4) (+ (* (* (+ 1 a) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (* b b) (- (* a a) (* (* a a) (* a 3)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 364 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (* (* b b) (- 1 a)) (- 1 (* 729 (pow (* a a) 3))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 (pow (* a a) 3)) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (* (* b b) (- 1 a)) (- 1 (* 729 (pow (* a a) 3))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 (pow (* a a) 3)) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 365 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (- 1 (* (* a a) (* a a)))) (* (* (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* b b) (- 1 a))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (- 1 (* (* a a) (* a a)))) (* (* (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* b b) (- 1 a))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 366 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (+ (* (- 1 (pow (* a a) 3)) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a a) (* a 3)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (+ (* (- 1 (pow (* a a) 3)) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a a) (* a 3)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 367 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (* (* a a) (* a a))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))))) (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* (* 9 a) a) 3)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (* (* a a) (* a a))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))))) (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* (* 9 a) a) 3)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 368 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 369 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ 1 (* a a))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))))) (* (* (* (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 a)) (+ 1 (* a a))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ 1 (* a a))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))))) (* (* (* (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 a)) (+ 1 (* a a))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 370 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (- 1 (* a a))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (* (* (- 1 a) (* b b)) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (- 1 (* a a))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (* (* (- 1 a) (* b b)) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 371 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 a)))) (* (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (* a a))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4)) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 a)))) (* (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (* a a))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4)) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 372 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a 9) a) 1) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (+ (* (* a 9) a) 1) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a 9) a) 1) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (+ (* (* a 9) a) 1) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 373 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (+ (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ 1 (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (- 1 a)))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (* a a) (* a a))) (+ (* (* a 9) a) 1))))) (* (* (* (+ (* (* a 9) a) 1) (+ 1 (* a a))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (+ (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ 1 (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (- 1 a)))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (* a a) (* a a))) (+ (* (* a 9) a) 1))))) (* (* (* (+ (* (* a 9) a) 1) (+ 1 (* a a))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 374 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (+ (* (* a 9) a) 1) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (- 1 a) (* b b)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a 9) a) 1))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (+ (* (* a 9) a) 1) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (- 1 a) (* b b)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a 9) a) 1))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 375 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ (* (* a 9) a) 1) (- (* a a) (* (* a 3) (* a a))))) (+ 1 (* a a)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* (+ (* (* a 9) a) 1) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ (* (* a 9) a) 1) (- (* a a) (* (* a 3) (* a a))))) (+ 1 (* a a)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* (+ (* (* a 9) a) 1) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 376 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a 9) a) 1) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* (+ (* (* a 9) a) 1) (- 1 (pow (* a a) 3))) (+ (* (* a 3) (* a a)) (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* (* a 9) a) 1) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* (+ (* (* a 9) a) 1) (- 1 (pow (* a a) 3))) (+ (* (* a 3) (* a a)) (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 377 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (+ (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (+ (* (* a 9) a) 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ 1 (* a a)) (+ (* (* a 9) a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (+ (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (+ (* (* a 9) a) 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ 1 (* a a)) (+ (* (* a 9) a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 378 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a 9) a) 1) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))))) (* (+ (* (* (* (* b b) (- 1 a)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (- 1 (* a a)) (+ (* (* a 9) a) 1)))) (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a 9) a) 1) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))))) (* (+ (* (* (* (* b b) (- 1 a)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (- 1 (* a a)) (+ (* (* a 9) a) 1)))) (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 379 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) 4) (+ (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (* (* a 9) a) 1))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ (* (* a 9) a) 1) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) 4) (+ (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (* (* a 9) a) 1))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ (* (* a 9) a) 1) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 380 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (pow (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) 3) (pow (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))))) (* (+ (* (- (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a)))) (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (pow (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) 3) (pow (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))))) (* (+ (* (- (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a)))) (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 381 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))))))) (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (* (- (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a)))) (+ (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))))))) (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (* (- (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a)))) (+ (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 382 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (88 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (+ (* a a) (+ a 1))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))))) (* (+ (* (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (- (pow a 3))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow (* a a) 3))) (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (+ (* a a) (+ a 1))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (+ (* a a) (+ a 1))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))))) (* (+ (* (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (- (pow a 3))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow (* a a) 3))) (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (+ (* a a) (+ a 1))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 383 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ (+ 1 a) (* a a))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (pow a 3) (* 729 (pow a 3))))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ (+ 1 a) (* a a))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (pow a 3) (* 729 (pow a 3))))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 384 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (- 1 (pow a 3)) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (* b b) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* a a) (+ a 1)) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (- 1 (pow a 3)) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (* b b) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* a a) (+ a 1)) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 385 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))) (* (* (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (pow (* a (* 9 a)) 3)) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))) (* (* (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (pow (* a (* 9 a)) 3)) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 386 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (+ (* a a) (+ a 1)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (pow a 3)) (* b b))) (- 1 (pow (* a (* 9 a)) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (+ (* a a) (+ a 1)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (pow a 3)) (* b b))) (- 1 (pow (* a (* 9 a)) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 387 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (- 1 (pow a 3)) b) (* b (+ 1 (* a a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (- 1 (pow a 3)) b) (* b (+ 1 (* a a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 388 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (+ (* a a) (+ a 1)) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (* b b) (- 1 (pow a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (+ (* a a) (+ a 1)) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (* b b) (- 1 (pow a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 389 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (* 729 (pow a 3))))) (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ (+ 1 a) (* a a))) (* (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (* (* 27 a) (* a a)) 1) (- 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (* 729 (pow a 3))))) (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ (+ 1 a) (* a a))) (* (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (* (* 27 a) (* a a)) 1) (- 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 390 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (313 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))) (* (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a))) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))) (* (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a))) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 391 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (300 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a))))) (* (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* a (* a 9)) 3))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a))))) (* (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* a (* a 9)) 3))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 392 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* a (* 9 a)) 3))) (* (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* a (* 9 a)) 3))) (* (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 393 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (- 1 (pow (* a (* a 9)) 3)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* b b) (- 1 (* a a))))) (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (- 1 (pow (* a (* a 9)) 3)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* b b) (- 1 (* a a))))) (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 394 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (- 1 (pow (* a (* a 9)) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (* a a))))) (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (pow (* a a) 3))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (+ 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (- 1 (pow (* a (* a 9)) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (* a a))))) (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (pow (* a a) 3))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (+ 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 395 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a)))) (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ 1 a) (+ (* (* a 3) (* a a)) (* a a)))) (- 1 (* (* a a) (* a a)))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a)))) (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ 1 a) (+ (* (* a 3) (* a a)) (* a a)))) (- 1 (* (* a a) (* a a)))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 396 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* a (* 9 a)) 3))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* a (* 9 a)) 3))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 397 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (- 1 (pow (* a (* 9 a)) 3)) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 (* a a)) (* b b)))) (* (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (- 1 (pow (* a (* 9 a)) 3)) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 (* a a)) (* b b)))) (* (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 398 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (+ (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (+ 1 (* a (* 9 a)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (+ (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (+ 1 (* a (* 9 a)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 399 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a))))) (+ 1 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a))))) (+ 1 (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 400 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* 9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (+ 1 (* 9 (* a a)))) (* (* (- 1 (pow a 3)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* 9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (+ 1 (* 9 (* a a)))) (* (* (- 1 (pow a 3)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 401 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* a (* 9 a))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- 1 (pow a 4)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))))) (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* a (* 9 a))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)))) (* (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- 1 (pow a 4)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))))) (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 402 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* a (* 9 a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) (+ a 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* a (* 9 a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) (+ a 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 403 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (+ 1 (* a (* 9 a))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (+ 1 (* a (* 9 a))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 404 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a))))) (- 1 (* a a))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (- 1 (pow a 3)) (* b b))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a))))) (- 1 (* a a))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (- 1 (pow a 3)) (* b b))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 405 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 406 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 407 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (- 1 (* (* a a) (* a a))) (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (- 1 (* (* a a) (* a a))) (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 408 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (- 1 (* a a)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (- 1 (pow (* a a) 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (- 1 (* a a)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (- 1 (pow (* a a) 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 409 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))))) (* (* (- 1 (* (* a a) (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))))) (* (* (- 1 (* (* a a) (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 410 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3))) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a)) (+ 1 (* a (* 9 a)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3))) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a)) (+ 1 (* a (* 9 a)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 411 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a (* 9 a))) (* (+ 1 a) (+ 1 (* a a)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (+ 1 (* a a)) (* (* b b) (- 1 (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a (* 9 a))) (* (+ 1 a) (+ 1 (* a a)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (+ 1 (* a a)) (* (* b b) (- 1 (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 412 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))))) (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))))) (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 413 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (- 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (- 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 414 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 415 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* a (* 9 a)))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* a (* 9 a)))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 416 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ 1 (* -9 (* a a))) (* (- 1 (pow a 3)) (* b b))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ 1 (* -9 (* a a))) (* (- 1 (pow a 3)) (* b b))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 417 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))))) (* (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))))) (* (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 418 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 a) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 1 a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 a) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 1 a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 419 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 9 (* a a)))) (+ 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* a a) (+ a 1)) (+ 1 (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 9 (* a a)))) (+ 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* a a) (+ a 1)) (+ 1 (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 420 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (* (+ (* (* (+ (+ 1 a) (* a a)) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (+ (+ 1 a) (* a a)) (pow a 4))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (* (+ (* (* (+ (+ 1 a) (* a a)) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (+ (+ 1 a) (* a a)) (pow a 4))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* (* 27 a) (* a a)) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 421 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 422 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 423 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ 1 (* a a)) (+ 1 a))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a)))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ 1 (* a a)) (+ 1 a))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a)))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 424 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (- (* a a) (* (* a 3) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (- (* a a) (* (* a 3) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 425 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* (* a a) (* a a))) (+ 1 a))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* (* a a) (* a a))) (+ 1 a))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 426 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (* (* (+ 1 a) (* a a)) (+ 1 (* a a))) (+ 1 a)))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (* a a) (* (* a 3) (* a a)))) (* (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* a (* a 9))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (* (* (+ 1 a) (* a a)) (+ 1 (* a a))) (+ 1 a)))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (* a a) (* (* a 3) (* a a)))) (* (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* a (* a 9))))) (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 427 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 a) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a)))) (+ 1 (* a a))) (* (- 1 (* (* a a) (* a a))) (* (+ 1 a) (+ (* a a) (* (* a 3) (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ 1 (* a a)) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a)))) (+ 1 (* a a))) (* (- 1 (* (* a a) (* a a))) (* (+ 1 a) (+ (* a a) (* (* a 3) (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ 1 (* a a)) (+ 1 a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 a) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 428 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (* (* (+ 1 a) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a))) (* (* (+ 1 a) (* a a)) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ (* (* (+ 1 a) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a))) (* (* (+ 1 a) (* a a)) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 429 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (* b b) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (* (- 1 (* a a)) (+ 1 a)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (- (* a a) (* (* a 3) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (* b b) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (* (- 1 (* a a)) (+ 1 a)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (- (* a a) (* (* a 3) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 430 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (304 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (* b b) (- 1 a))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (* (+ (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (* b b) (- 1 a))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 431 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (+ (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (* (* (- 1 a) (* b b)) (- 1 (pow (* a (* a 9)) 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (+ (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (* (* (- 1 a) (* b b)) (- 1 (pow (* a (* a 9)) 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 432 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (* b b) (- 1 a)))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (pow (* a a) 3))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (* b b) (- 1 a)))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (pow (* a a) 3))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b)))) (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 433 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a (* 9 a)) 3))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (- 1 (* (* a a) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a (* 9 a)) 3))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (- 1 (* (* a a) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 434 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* b b) (- 1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* b b) (- 1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 435 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 a))) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* (* a a) (* a a))))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (+ 1 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 a))) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* (* a a) (* a a))))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (+ 1 (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 436 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (* a a)))) (* (* (* (- 1 a) (* b b)) (- 1 (pow (* a (* a 9)) 3))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (* a a)))) (* (* (* (- 1 a) (* b b)) (- 1 (pow (* a (* a 9)) 3))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 437 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a (* 9 a)) 3))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a (* 9 a)) 3))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 438 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (* (* (* b b) (- 1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (* (- 1 (pow (* a a) 3)) (+ 1 (* a (* 9 a))))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (* (* (* b b) (- 1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (* (- 1 (pow (* a a) 3)) (+ 1 (* a (* 9 a))))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (+ 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 439 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* a a)) (+ 1 (* a (* 9 a))))))) (* (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* a a)) (+ 1 (* a (* 9 a))))))) (* (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 440 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a (* 9 a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a (* 9 a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 441 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a)))) (+ 1 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a)))) (+ 1 (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 442 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 a)))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (+ 1 (* a (* 9 a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)))) (* (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 a)))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (+ 1 (* a (* 9 a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)))) (* (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 443 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ 1 (* a (* 9 a))) (+ 1 (* a a)))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (+ (* (- 1 (* (* a a) (* a a))) (* (+ 1 (* a (* 9 a))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 a)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)) (* (+ 1 (* a (* 9 a))) (+ 1 (* a a)))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (+ (* (- 1 (* (* a a) (* a a))) (* (+ 1 (* a (* 9 a))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 a)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 444 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))) (* (+ 1 (* a (* 9 a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))) (* (+ (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (- 1 (* a a)) (+ 1 (* a (* 9 a))))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 a))))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))) (* (+ 1 (* a (* 9 a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))) (* (+ (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (- 1 (* a a)) (+ 1 (* a (* 9 a))))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 a))))) (* (* (* (+ 1 a) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 445 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 446 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (pow (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) 3) (pow (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (+ (* (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a))))) (* (- (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a))))) (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (pow (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) 3) (pow (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (+ 1 a) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1)))) (+ (* (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a))))) (* (- (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a))))) (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 447 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (- (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (- (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1)) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) 1)) * * * * [misc]progress: [ 448 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a)))) (* (* (* (* (+ (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (+ (pow (* a 3) 3) 1) (- 1 (* a a)))) (* (* (* (* (+ (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ 1 a)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))))) 1)) * * * * [misc]progress: [ 449 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- (* 1 1) (* a a))))) (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (+ (pow (* a 3) 3) 1) (- 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* (- 1 a) (* b b)) (+ 1 (* -9 (* a a)))) (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ 1 a)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))) (+ 1 a)))) (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) 1)) * * * * [misc]progress: [ 450 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (300 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ (+ 1 a) (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* (pow a 3) 729) (- (pow a 3))) (* (* b b) (- 1 (pow a 3)))))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ (+ 1 a) (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* (pow a 3) 729) (- (pow a 3))) (* (* b b) (- 1 (pow a 3)))))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 451 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (- 1 (* (* a a) 9))) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ (* a a) (+ a 1))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (pow a 4)))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (pow (* (* a a) 9) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (- 1 (* (* a a) 9))) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ (* a a) (+ a 1))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (pow a 4)))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (pow (* (* a a) 9) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 452 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (+ 1 a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))))) (* (* (+ (* (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* (pow a 3) 729) (- (pow a 3))) (* (* b b) (- 1 (pow a 3))))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (+ 1 a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))))) (* (* (+ (* (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* (pow a 3) 729) (- (pow a 3))) (* (* b b) (- 1 (pow a 3))))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 453 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))))) (* (* (* (+ (* -3 a) 1) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (- 1 (pow a 3)) (- 1 (* (* (pow a 3) 729) (pow a 3)))) (* (* b b) (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (* a a) (+ a 1))) (* (+ (* (* a a) (* a 3)) (* a a)) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (pow a 4))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))))) (* (* (* (+ (* -3 a) 1) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (- 1 (pow a 3)) (- 1 (* (* (pow a 3) 729) (pow a 3)))) (* (* b b) (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (* a a) (+ a 1))) (* (+ (* (* a a) (* a 3)) (* a a)) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (pow a 4))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 454 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (+ a 1)))))) (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4) (+ (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (+ a 1)))))) (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4) (+ (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 455 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a)))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a)))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 456 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (+ 1 a) (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (* b b) (- 1 (pow a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (+ 1 a) (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (* b b) (- 1 (pow a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 457 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (* (* 729 (pow a 3)) (pow a 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ (+ 1 a) (* a a))) (* (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (* (* 729 (pow a 3)) (pow a 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ (+ 1 a) (* a a))) (* (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 458 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 (* a -3)) (+ (* a a) (+ a 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* a 9) a) 3))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))) (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 (* a -3)) (+ (* a a) (+ a 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* a 9) a) 3))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))) (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 459 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- 1 (* a 3)) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (- 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- 1 (* a 3)) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (- 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 460 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))))) (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* a a) 2) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (- 1 (* a a)) (* b b)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) 4)) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* a a) 2) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))))) (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* a a) 2) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (- 1 (* a a)) (* b b)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) 4)) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* a a) 2) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 461 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (+ (* a a) (* (* a a) (* -3 a))) (+ (* (* a a) (* a 3)) (* a a))))) (* (* (* (+ 1 (* a a)) (+ (* a a) (* (* a a) (* -3 a)))) (- 1 (pow (* (* a 3) (* a 3)) 3))) (* (- 1 (* a a)) (* b b)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))))) (* (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (+ 1 (* a a))) (+ (* a a) (* (* a a) (* -3 a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (+ (* a a) (* (* a a) (* -3 a))) (+ (* (* a a) (* a 3)) (* a a))))) (* (* (* (+ 1 (* a a)) (+ (* a a) (* (* a a) (* -3 a)))) (- 1 (pow (* (* a 3) (* a 3)) 3))) (* (- 1 (* a a)) (* b b)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))))) (* (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (+ 1 (* a a))) (+ (* a a) (* (* a a) (* -3 a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 462 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))) (+ 1 a))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* a a)) (* b b))) (- 1 (pow (* 9 (* a a)) 3)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a)) (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))) (+ 1 a))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* a a)) (* b b))) (- 1 (pow (* 9 (* a a)) 3)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a)) (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 463 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* b (- 1 (* a a))) (* b (+ 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* b (- 1 (* a a))) (* b (+ 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 464 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))))) (* (+ (* (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (* a a))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a))) (* (* (- 1 (* a a)) (* b b)) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))))) (* (+ (* (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (* a a))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a))) (* (* (- 1 (* a a)) (* b b)) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 465 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ 1 a) (+ (* (* a a) (* a -3)) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (+ 1 (* a -3)))) (* (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a -3)) (* a a))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (* a a))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ 1 a) (+ (* (* a a) (* a -3)) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (+ 1 (* a -3)))) (* (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a -3)) (* a a))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (* a a))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 466 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 467 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ 1 (* (* a 9) a))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ (+ 1 a) (* a a)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ 1 (* (* a 9) a))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ (+ 1 a) (* a a)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a 9) a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 468 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))) (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9)))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3)))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))) (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9)))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3)))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a a) 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 469 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (+ 1 (* a a)) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ 1 (* (* a 9) a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ 1 (* (* a 9) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (+ 1 (* a a)) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ 1 (* (* a 9) a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ 1 (* (* a 9) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 470 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a a) 9))) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ 1 (* (* a a) 9))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* (* a a) 9))) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ 1 (* (* a a) 9))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 471 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ 1 (* (* a 9) a))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a))) (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a))))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ 1 (* (* a 9) a))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a))) (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a))))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 472 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a))) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a))) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 473 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ (* a a) (* (* a -3) (* a a))) (+ (* a a) (+ a 1))) (+ 1 (* (* a 9) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ (* a a) (* (* a -3) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a))) (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (+ (* a a) (* (* a -3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ (* a a) (* (* a -3) (* a a))) (+ (* a a) (+ a 1))) (+ 1 (* (* a 9) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ (* a a) (* (* a -3) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* (* a 9) a))) (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (+ (* a a) (* (* a -3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 474 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))))) (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 1 a) (+ 1 (* (* a 3) (* a 3)))))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 a) (+ 1 (* (* a 3) (* a 3))))) (* (* (* (* (- 1 (* a a)) (* b b)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))))) (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 1 a) (+ 1 (* (* a 3) (* a 3)))))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 a) (+ 1 (* (* a 3) (* a 3))))) (* (* (* (* (- 1 (* a a)) (* b b)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 475 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 476 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (+ 1 (* (* a 9) a))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* -3 a)) (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (- 1 (* a a)) (* b b)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* -3 a)) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (+ 1 (* (* a 9) a))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* -3 a)) (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (- 1 (* a a)) (* b b)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* -3 a)) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 477 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* -3 a) 1) (+ (* a a) (+ a 1))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (- 1 (pow a 4)) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a))))) (* (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (- 1 (* a a))) (* (* b b) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* -3 a) 1) (+ (* a a) (+ a 1))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (- 1 (pow a 4)) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a))))) (* (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (- 1 (* a a))) (* (* b b) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 478 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a)))) (* (+ (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a 3) (* a a))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a)))) (* (+ (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a 3) (* a a))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 479 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ 1 (* a a)) (+ 1 a)) (+ 1 (* (* a 9) a))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (+ 1 (* (* a 9) a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ 1 (* a a)) (+ 1 a)) (+ 1 (* (* a 9) a))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (+ 1 (* (* a 9) a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 480 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (+ 1 (* (* a 9) a))))) (* (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (+ 1 (* (* a 9) a))))) (* (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ 1 a) (+ 1 (* (* a 9) a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 481 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 (* a a)) (* b b)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (* a a)))) (* (+ 1 a) (+ 1 (* (* a 9) a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ 1 a) (- (* a a) (* (* a a) (* a 3)))) (+ 1 (* (* a 9) a))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 (* a a)) (* b b)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (* a a)))) (* (+ 1 a) (+ 1 (* (* a 9) a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ 1 a) (- (* a a) (* (* a a) (* a 3)))) (+ 1 (* (* a 9) a))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 482 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (+ a 1)))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a)))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (+ a 1)))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a)))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 483 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 484 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 485 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* (* a a) (* a 3)) (* a a)) (+ (* (* -3 a) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a 3) (* a 3)))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ 1 (* a a)))))) (* (* (+ (* -3 a) 1) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))))) (* (* (+ (* (* -3 a) (* a a)) (* a a)) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* (* a a) (* a 3)) (* a a)) (+ (* (* -3 a) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a 3) (* a 3)))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ 1 (* a a)))))) (* (* (+ (* -3 a) 1) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))))) (* (* (+ (* (* -3 a) (* a a)) (* a a)) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 486 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* a (* a 9)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* a (* a 9)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 487 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))) (* (* (+ 1 (* a a)) (+ (* a a) (+ a 1))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (* (+ 1 (* a a)) (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 (pow a 3))))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4)) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 (* a -3))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))) (* (* (+ 1 (* a a)) (+ (* a a) (+ a 1))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (* (+ 1 (* a a)) (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 (pow a 3))))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4)) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 (* a -3))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 488 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a a) 9))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ (+ 1 a) (* a a)))))))) (* (* (* (+ (+ 1 a) (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a a) 9))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ (+ 1 a) (* a a)))))))) (* (* (* (+ (+ 1 a) (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 489 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (* a a) (* (* a a) (* a -3))) (* (- 1 (* (* a 3) (* a 3))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (+ (* a a) (* (* a a) (* a -3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4)) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (* a a) (* a -3)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (* a a) (* (* a a) (* a -3))) (* (- 1 (* (* a 3) (* a 3))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (+ (* a a) (* (* a a) (* a -3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4)) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (* a a) (* a -3)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 490 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 491 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* -3 a) 1) (+ (* a a) (+ a 1))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* -3 a) 1) (+ (* a a) (+ a 1))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 492 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a)))) (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a)))) (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 493 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a -3))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ 1 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a)))))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a -3))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ 1 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a)))))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 494 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1)) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ 1 a) (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a a) (* a 3)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))))) (* (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ (* a a) 1))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1)) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ 1 a) (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a a) (* a 3)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))))) (* (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ (* a a) 1))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 495 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* 9 (* a a))) (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a))))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* 9 (* a a))) (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a))))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 496 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* a 9))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* a 9))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 497 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* -3 a) (* a a)))) (* (- 1 (* a a)) (+ 1 a))) (* (* (- 1 (* a (* 9 a))) (- 1 (* a a))) (* (* b b) (+ (* a a) (* (* -3 a) (* a a))))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* -3 a) (* a a)))) (* (- 1 (* a a)) (+ 1 a))) (* (* (- 1 (* a (* 9 a))) (- 1 (* a a))) (* (* b b) (+ (* a a) (* (* -3 a) (* a a))))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 498 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* b b) (- 1 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* b b) (- 1 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 499 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (+ (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (pow a 4)))) (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* 729 (* (pow a 3) (pow a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (+ (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (pow a 4)))) (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* 729 (* (pow a 3) (pow a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 500 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 a) (- 1 (pow (* a (* 9 a)) 3))) (* (* b b) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (- 1 (pow (* a a) 3)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))))) (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 a) (- 1 (pow (* a (* 9 a)) 3))) (* (* b b) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (- 1 (pow (* a a) 3)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))))) (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 501 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ 1 (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* a a) (* (* -3 a) (* a a)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* a a) (* (* -3 a) (* a a))) (+ (* (* a a) (* a 3)) (* a a)))) (- 1 (pow a 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ 1 (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* a a) (* (* -3 a) (* a a)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* a a) (* (* -3 a) (* a a))) (+ (* (* a a) (* a 3)) (* a a)))) (- 1 (pow a 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 502 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (* (* (+ (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (pow (* a (* 9 a)) 3))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (* (* (+ (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (pow (* a (* 9 a)) 3))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 503 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4) (+ (* (- 1 (* (* 729 (pow a 3)) (pow a 3))) (* (+ 1 (* a a)) (* (* b b) (- 1 a)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow a 4))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* a -3)) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))))) (* (* (+ 1 (* a a)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4) (+ (* (- 1 (* (* 729 (pow a 3)) (pow a 3))) (* (+ 1 (* a a)) (* (* b b) (- 1 a)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow a 4))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* a -3)) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))))) (* (* (+ 1 (* a a)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 504 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (- 1 (* a a))) (* (* (- 1 a) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (- 1 (* a 3)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (- 1 (* a a))) (* (* (- 1 a) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (- 1 (* a 3)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 505 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) (* (* (+ (* (- 1 (* (* 729 (pow a 3)) (pow a 3))) (* (* (* b b) (- 1 a)) (+ (* (* -3 a) (* a a)) (* a a)))) (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a)))) (- 1 (* a a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) (* (* (+ (* (- 1 (* (* 729 (pow a 3)) (pow a 3))) (* (* (* b b) (- 1 a)) (+ (* (* -3 a) (* a a)) (* a a)))) (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a)))) (- 1 (* a a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 506 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (- 1 a))))) (* (* (+ 1 (* (* a 9) a)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* (* a 9) a)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (- 1 a))))) (* (* (+ 1 (* (* a 9) a)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* (* a 9) a)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 507 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ 1 (* (* a 9) a)))))) (* (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ 1 (* (* a 9) a)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ 1 (* (* a 9) a)))))) (* (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ 1 (* (* a 9) a)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 508 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* (* a a) (* a -3)) (* a a)) (+ 1 (* a (* a 9)))))) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (* (* a (* a 9)) (* a (* a 9)))))) (* (* (+ 1 (* a (* a 9))) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* (* a a) (* a -3)) (* a a)) (+ 1 (* a (* a 9)))))) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (* (* a (* a 9)) (* a (* a 9)))))) (* (* (+ 1 (* a (* a 9))) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 509 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (pow a 4)) (+ 1 (* (* a 9) a)))))) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ (+ 1 a) (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (+ 1 (* (* a 9) a))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (pow a 4)) (+ 1 (* (* a 9) a)))))) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ (+ 1 a) (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (+ 1 (* (* a 9) a))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 510 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow (* a a) 3)) (+ 1 (* a (* a 9))))))) (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 (* a (* a 9)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow (* a a) 3)) (+ 1 (* a (* a 9))))))) (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 (* a (* a 9)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 511 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ 1 (* (* a 9) a)) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 a)) (+ 1 (* a a)))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ 1 (* (* a 9) a)) (+ 1 (* a a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ 1 (* (* a 9) a)) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 a)) (+ 1 (* a a)))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ 1 (* (* a 9) a)) (+ 1 (* a a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 512 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a -3) 1) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* (* a 9) a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (- 1 a)) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ 1 (* (* a 9) a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a -3) 1) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* (* a 9) a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (- 1 a)) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ 1 (* (* a 9) a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 513 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* (* a 9) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 a) (* b b))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* a a)) (+ 1 (* (* a 9) a))))) (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* (* a 9) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 a) (* b b))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* a a)) (+ 1 (* (* a 9) a))))) (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 514 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a)))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (pow (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) 3) (pow (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b))) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)))) (* (+ (* (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b))) (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b)))) (* (- (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b)))) (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a)))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (pow (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) 3) (pow (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b))) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)))) (* (+ (* (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b))) (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b)))) (* (- (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b)))) (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 515 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b)))) (- (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4)) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b)))) (- (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4)) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (- 1 (* (* a a) 9)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 516 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (+ (* a a) (+ a 1)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (- 1 (pow (* (* a 3) (* a 3)) 3))) (* (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (+ (* a a) (+ a 1))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (+ (* a a) (+ a 1)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (- 1 (pow (* (* a 3) (* a 3)) 3))) (* (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (+ (* a a) (+ a 1))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 517 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a)))) (* (* (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (- 1 (* a 3)) (+ (* a a) (+ a 1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4)) (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* 729 (pow (* a a) 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a)))) (* (* (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (- 1 (* a 3)) (+ (* a a) (+ a 1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4)) (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a)))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* 729 (pow (* a a) 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 518 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ (* a a) (+ a 1))))) (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ (* a a) (+ a 1))))) (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 519 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (+ (* (* a a) (* -3 a)) (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (- 1 (* (* a 3) (* a 3)))) (* (- 1 (pow a 3)) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- 1 (* a 3)) (+ (+ 1 a) (* a a)))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (pow a 4))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (+ (+ 1 a) (* a a)))) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (pow a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (+ (* (* a a) (* -3 a)) (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (- 1 (* (* a 3) (* a 3)))) (* (- 1 (pow a 3)) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- 1 (* a 3)) (+ (+ 1 a) (* a a)))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (pow a 4))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (+ (+ 1 a) (* a a)))) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (pow a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 520 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a 3)) (* a a))))) (* (- 1 (pow (* (* a 9) a) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a 3)) (* a a))))) (* (- 1 (pow (* (* a 9) a) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 521 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (+ (* a a) 1) (+ (* a a) (+ a 1))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* -3 a) 1) (+ (* a a) (+ a 1)))) (* (+ (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 (pow a 3)) (* (* b b) (+ (* a a) 1))) (- 1 (* 729 (pow (* a a) 3))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (+ (* a a) 1) (+ (* a a) (+ a 1))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* -3 a) 1) (+ (* a a) (+ a 1)))) (* (+ (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 (pow a 3)) (* (* b b) (+ (* a a) 1))) (- 1 (* 729 (pow (* a a) 3))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 522 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (* (* (* b b) (- 1 (pow a 3))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* 729 (pow (* a a) 3))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (* (- 1 (* a 3)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (* (* (* b b) (- 1 (pow a 3))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* 729 (pow (* a a) 3))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (* (- 1 (* a 3)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 523 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ 1 (* a -3)) (+ (* a a) (+ a 1)))) (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b)))))) (+ (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a -3)) (* a a)))) (* (* (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (* a a))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (+ (* a a) (+ a 1)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ 1 (* a -3)) (+ (* a a) (+ a 1)))) (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b)))))) (+ (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a -3)) (* a a)))) (* (* (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (* a a))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (+ (* a a) (+ a 1)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 524 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (87 enodes) * * [misc]simplify: iters left: 5 (313 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (+ 1 a))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (+ (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a 3) (* a 3)) 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (+ 1 a))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (+ (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a 3) (* a 3)) 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 525 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* 729 (pow (* a a) 3)))) (* (+ (* a a) 1) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (+ 1 a)) (* (- 1 (pow a 4)) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (* (+ 1 a) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* 729 (pow (* a a) 3)))) (* (+ (* a a) 1) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (+ 1 a)) (* (- 1 (pow a 4)) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (* (+ 1 a) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 526 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (300 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a))) (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* 729 (* (pow a 3) (pow a 3))))))) (* (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ 1 a) (+ (* (* a a) (* -3 a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a))) (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* 729 (* (pow a 3) (pow a 3))))))) (* (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ 1 a) (+ (* (* a a) (* -3 a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 527 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ 1 a) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* -3 a)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (* a a) (+ a 1)) (- 1 (* a 3)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)) (* (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3)))) (+ (* a a) (* (* a a) (* -3 a))))) (* (* (- 1 (* a a)) (* b b)) (* (- 1 (* 729 (pow (* a a) 3))) (* (+ (* a a) 1) (+ (* a a) (* (* a a) (* -3 a))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ 1 a) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* -3 a)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (* a a) (+ a 1)) (- 1 (* a 3)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)) (* (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3)))) (+ (* a a) (* (* a a) (* -3 a))))) (* (* (- 1 (* a a)) (* b b)) (* (- 1 (* 729 (pow (* a a) 3))) (* (+ (* a a) 1) (+ (* a a) (* (* a a) (* -3 a))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 528 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* a a) (+ a 1)) (+ (* a -3) 1))) (* (+ (* (* (+ 1 a) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (pow (* (* a 3) (* a 3)) 3)))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* a a) (+ a 1)) (+ (* a -3) 1))) (* (+ (* (* (+ 1 a) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (pow (* (* a 3) (* a 3)) 3)))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 529 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (+ (* a a) 1) (* (* b b) (- 1 (* a a))))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (+ (* a a) 1) (+ 1 a)) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (+ (* a a) 1) (* (* b b) (- 1 (* a a))))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (+ (* a a) 1) (+ 1 a)) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 530 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))))) (* (+ (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- 1 (* a a)) (* b b))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))))) (* (+ (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- 1 (* a a)) (* b b))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 531 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a -3))) (+ (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (- 1 (* a a)) (* b b)) (+ (* a a) (* (* a a) (* a -3)))) (- 1 (* 729 (pow (* a a) 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (* (* (* (+ (* a a) (* (* a a) (* a -3))) (+ 1 a)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a -3))) (+ (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (- 1 (* a a)) (* b b)) (+ (* a a) (* (* a a) (* a -3)))) (- 1 (* 729 (pow (* a a) 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (* (* (* (+ (* a a) (* (* a a) (* a -3))) (+ 1 a)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 532 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a (* a 9)) 1) (+ (+ 1 a) (* a a))))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (+ (* a (* a 9)) 1) (+ (+ 1 a) (* a a)))) (- 1 (pow (* a a) 3))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))) (* (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a (* a 9)) 1) (+ (+ 1 a) (* a a))))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (+ (* a (* a 9)) 1) (+ (+ 1 a) (* a a)))) (- 1 (pow (* a a) 3))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))) (* (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 533 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4))) (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4))) (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 534 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))) (* (+ (* (* a a) (* a -3)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- 1 (* a 3)) (+ (+ 1 a) (* a a)))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (+ (* (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))) (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a -3)) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))) (* (+ (* (* a a) (* a -3)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- 1 (* a 3)) (+ (+ 1 a) (* a a)))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (+ (* (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))) (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a -3)) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 535 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* (* a 9) a) 1) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* -3 a) 1)) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (+ (* (* a 9) a) 1) (+ (* a a) (+ a 1))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (- 1 (pow a 4))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* (* a 9) a) 1) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* -3 a) 1)) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (+ (* (* a 9) a) 1) (+ (* a a) (+ a 1))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (- 1 (pow a 4))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 536 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) 9) 1)) (+ (+ 1 a) (* a a)))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1))) (* (+ (* (* (+ (* (* a a) 9) 1) (+ (+ 1 a) (* a a))) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) 9) 1)) (+ (+ 1 a) (* a a)))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1))) (* (+ (* (* (+ (* (* a a) 9) 1) (+ (+ 1 a) (* a a))) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 537 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1))) (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3))))) (* (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a))) (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (+ (* (* a 9) a) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1))) (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3))))) (* (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a))) (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (+ (* (* a 9) a) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 538 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* a 9) a) 1) (+ (+ 1 a) (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 539 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (+ (* (* a -3) (* a a)) (* a a)) (* (* b b) (- 1 (pow a 3))))) (* (+ (* (* a 9) a) 1) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a 3))) (+ (* (* a -3) (* a a)) (* a a))))))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a -3) (* a a)) (* a a)) (* (* (+ (* (* a 9) a) 1) (+ (* a a) (+ a 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (+ (* (* a -3) (* a a)) (* a a)) (* (* b b) (- 1 (pow a 3))))) (* (+ (* (* a 9) a) 1) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a 3))) (+ (* (* a -3) (* a a)) (* a a))))))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a -3) (* a a)) (* a a)) (* (* (+ (* (* a 9) a) 1) (+ (* a a) (+ a 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 540 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (+ (* a (* a 9)) 1))) (* (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (- 1 (* (* a (* a 9)) (* a (* a 9))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 a) (+ (* a (* a 9)) 1))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (+ (* a (* a 9)) 1))) (* (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (- 1 (* (* a (* a 9)) (* a (* a 9))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 a) (+ (* a (* a 9)) 1))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 541 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 a) (+ (* (* a 9) a) 1))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 a) (+ (* (* a 9) a) 1))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 542 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ 1 a) (+ (* (* a 3) (* a 3)) 1))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (* (* (+ (* a a) (+ a 1)) (- 1 (* a 3))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (+ (* (- 1 (pow (* a a) 3)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (+ 1 a) (+ (* (* a 3) (* a 3)) 1)))) (* (* (- 1 (* a a)) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* b b) (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ 1 a) (+ (* (* a 3) (* a 3)) 1))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (* (* (+ (* a a) (+ a 1)) (- 1 (* a 3))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (+ (* (- 1 (pow (* a a) 3)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (+ 1 a) (+ (* (* a 3) (* a 3)) 1)))) (* (* (- 1 (* a a)) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* b b) (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 543 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (pow a 4)))) (* (+ 1 a) (+ (* (* a 9) a) 1)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ 1 (* a -3)))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))))))) (* (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* a 9) a) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (pow a 4)))) (* (+ 1 a) (+ (* (* a 9) a) 1)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ 1 (* a -3)))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))))))) (* (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* a 9) a) 1)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 544 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a 3))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ 1 a) (+ (* (* a 9) a) 1))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 a) (+ (* (* a 9) a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a 3))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ 1 a) (+ (* (* a 9) a) 1))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 a) (+ (* (* a 9) a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 545 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (* (* a 9) a) 1) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ 1 (* a a)) (+ 1 a)) (+ (* (* a 9) a) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (* (* a 9) a) 1) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ 1 (* a a)) (+ 1 a)) (+ (* (* a 9) a) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 546 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (- 1 (* a a)) (* b b))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 a) (+ (* (* a 9) a) 1)))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (- 1 (* a a)) (* b b))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 a) (+ (* (* a 9) a) 1)))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 547 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ (+ 1 a) (* a a)))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (+ (* (- 1 (* a a)) (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* a -3) (* a a)) (* a a)) (* (* b b) (- 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (+ (* (* a -3) (* a a)) (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ (+ 1 a) (* a a)))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (+ (* (- 1 (* a a)) (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* a -3) (* a a)) (* a a)) (* (* b b) (- 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ 1 a) (+ (* (* a 9) a) 1)) (* (+ (* (* a -3) (* a a)) (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 548 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (+ (* a a) (+ a 1))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4)) (+ (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (+ a 1)))) (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (+ (* a a) (+ a 1))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4)) (+ (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (+ a 1)))) (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 549 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))))) (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (+ (* (+ 1 (* a a)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a 9) a))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))))) (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (+ (* (+ 1 (* a a)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a 9) a))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 550 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ (* a a) (+ a 1)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* (* a a) (* -3 a)) (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* (* a a) (* -3 a)) (* a a))) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ (* a a) (+ a 1)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* (* a a) (* -3 a)) (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* (* a a) (* -3 a)) (* a a))) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 551 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3)))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 9 (* a a)))) (* (+ (* a a) (* (* a -3) (* a a))) (+ 1 (* a a)))) (* (* (+ (* a a) (* (* a -3) (* a a))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (+ (* a a) (* (* a -3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3)))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 9 (* a a)))) (* (+ (* a a) (* (* a -3) (* a a))) (+ 1 (* a a)))) (* (* (+ (* a a) (* (* a -3) (* a a))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (+ (* a a) (* (* a -3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 552 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a a) 9))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (+ a 1))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a a) 9))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (+ a 1))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 553 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1)) (* (* b b) (+ 1 (* a a)))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (* (* a 2) (* a (* b b))))) 4)) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a -3) 1)) (* (+ (+ 1 a) (* a a)) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1)) (* (* b b) (+ 1 (* a a)))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (* (* a 2) (* a (* b b))))) 4)) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a -3) 1)) (* (+ (+ 1 a) (* a a)) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 554 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4) (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4) (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 555 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4) (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* -3 a)) (* a a))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a)))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (+ (* (* a a) (* -3 a)) (* a a)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* -3 a)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4) (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* -3 a)) (* a a))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a)))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (+ (* (* a a) (* -3 a)) (* a a)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* -3 a)) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 556 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 (* a -3)) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a 3) (* a 3))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 (* a -3)) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a 3) (* a 3))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 557 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1)))) (* (* (+ 1 a) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a)))) (* (+ (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))) (* (+ (* -9 (* a a)) 1) (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1)))) (* (* (+ 1 a) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a)))) (* (+ (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))) (* (+ (* -9 (* a a)) 1) (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 558 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1)))))) (* (* (* (* (+ 1 a) (+ (* (* a a) (* -3 a)) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1)))))) (* (* (* (* (+ 1 a) (+ (* (* a a) (* -3 a)) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 559 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* (* a a) (* -3 a)) (* a a)) (* (+ 1 (* a a)) (+ 1 a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* a (* a 9)))) (* (+ 1 (* a a)) (+ (* (* a a) (* -3 a)) (* a a)))) (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (pow a 4)) (+ 1 a)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* (* a a) (* -3 a)) (* a a)) (* (+ 1 (* a a)) (+ 1 a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* a (* a 9)))) (* (+ 1 (* a a)) (+ (* (* a a) (* -3 a)) (* a a)))) (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (pow a 4)) (+ 1 a)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 560 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (* (* (+ 1 a) (* a a)) (+ 1 (* a a))) (+ 1 a))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- 1 (* a 3)) (+ (+ 1 a) (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* a (* a 9)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (* a a) (* (* a 3) (* a a))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (* (* (+ 1 a) (* a a)) (+ 1 (* a a))) (+ 1 a))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- 1 (* a 3)) (+ (+ 1 a) (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* a (* a 9)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (* a a) (* (* a 3) (* a a))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 561 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (* a 3)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (- 1 (* a a)) b) (* b (+ 1 (* a a)))) (- 1 (* (* a a) 9))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9)))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a a)) (+ 1 a)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (* a 3)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (- 1 (* a a)) b) (* b (+ 1 (* a a)))) (- 1 (* (* a a) 9))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9)))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a a)) (+ 1 a)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 562 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))))))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ 1 a)) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))))))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ 1 a)) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 563 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4) (+ (* (* (* b b) (- 1 (* a a))) (* (+ 1 (* -9 (* a a))) (+ (* a a) (* (* a a) (* a -3))))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a -3))) (+ (* (* a a) (* a 3)) (* a a)))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 a) (+ (* a a) (* (* a a) (* a -3)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4) (+ (* (* (* b b) (- 1 (* a a))) (* (+ 1 (* -9 (* a a))) (+ (* a a) (* (* a a) (* a -3))))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a -3))) (+ (* (* a a) (* a 3)) (* a a)))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 a) (+ (* a a) (* (* a a) (* a -3)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 564 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 a)) (- 1 (pow (* (* a 3) (* a 3)) 3))))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a -3))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 a)) (- 1 (pow (* (* a 3) (* a 3)) 3))))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a -3))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 565 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1))))) (* (+ (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1)) (* (- 1 (* 729 (pow (* a a) 3))) (* (* b b) (- 1 a))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (* a 3))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1))))) (* (+ (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1)) (* (- 1 (* 729 (pow (* a a) 3))) (* (* b b) (- 1 a))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (* a 3))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 566 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* -3 a)) (* a a))) (- 1 (pow (* (* a 9) a) 3))) (* (- 1 a) (* b b)))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a)))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* -3 a)) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* -3 a)) (* a a))) (- 1 (pow (* (* a 9) a) 3))) (* (- 1 a) (* b b)))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a)))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* -3 a)) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 567 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (* (* (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* a a) 1) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (* (* (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* a a) 1) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 568 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* 729 (pow (* a a) 3))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* 729 (pow (* a a) 3))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 569 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (+ (* a a) 1) (* (* b b) (- 1 a))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (+ (* a a) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (+ (* a a) 1) (* (* b b) (- 1 a))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (+ (* a a) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 570 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a)))) (* (+ (* (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (* (- 1 (* 729 (pow (* a a) 3))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a)))) (* (+ (* (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ 1 (* (* a 9) a)))) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (* (- 1 (* 729 (pow (* a a) 3))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 571 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (* a a))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))) 4)) (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (* (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (* a a))) (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))) 4)) (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (* (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 572 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a 3))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (* (+ (* (* a 9) a) 1) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* (- 1 a) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ (* (* a 9) a) 1) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a 3))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (* (+ (* (* a 9) a) 1) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* (- 1 a) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ (* (* a 9) a) 1) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 573 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ 1 (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (- 1 a)))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ (* (* a 9) a) 1))))) (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ (* (* a 9) a) 1) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ 1 (* a a))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* b b) (- 1 a)))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ (* (* a 9) a) 1))))) (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ (* (* a 9) a) 1) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 574 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (+ (* (* a 9) a) 1) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 a) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a 9) a) 1)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (+ (* (* a 9) a) 1) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 a) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a 9) a) 1)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 575 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (+ (* (* a 9) a) 1) (- 1 (pow a 4))) (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* (* a -3) (* a a)) (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* (* a 9) a) 1)) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (+ (* (* a 9) a) 1) (- 1 (pow a 4))) (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* (* a -3) (* a a)) (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* (* a 9) a) 1)) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 576 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (+ (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a a) (* a 3))) (+ (* (* a 9) a) 1))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a 9) a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (+ (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a a) (* a 3))) (+ (* (* a 9) a) 1))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a 9) a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 577 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ (* (* a 9) a) 1) (+ 1 (* a a)))))) (* (* (* (+ 1 (* a -3)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* a 9) a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ (* (* a 9) a) 1) (+ 1 (* a a)))))) (* (* (* (+ 1 (* a -3)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* a 9) a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 578 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* b b) (- 1 a)))) (* (* (+ (* (* a 9) a) 1) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a)))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (* a 9) a) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* b b) (- 1 a)))) (* (* (+ (* (* a 9) a) 1) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a)))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (* a 9) a) 1)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 579 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) 4) (+ (* (* (+ (* a a) (* (* -3 a) (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* a a)) (+ (* (* a 9) a) 1))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ (* a a) (* (* -3 a) (* a a))) (+ (* (* a 9) a) 1))) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) 4) (+ (* (* (+ (* a a) (* (* -3 a) (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* a a)) (+ (* (* a 9) a) 1))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* -3 a) 1) (+ (+ 1 a) (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ (* a a) (* (* -3 a) (* a a))) (+ (* (* a 9) a) 1))) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 580 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (+ (pow (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) 3) (pow (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) 3))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a)))) (* (- (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (+ (pow (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) 3) (pow (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) 3))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a)))) (* (- (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 581 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (- (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a)))) (+ (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a)))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (- (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a)))) (+ (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a)))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 582 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))) (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))))))) (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (+ (* (* (* b b) (- 1 (pow a 3))) 1) (* (* (* b b) (- 1 (pow a 3))) (* (* (pow a 3) 729) (- (pow a 3)))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))) (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))))))) (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (+ (* (* (* b b) (- 1 (pow a 3))) 1) (* (* (* b b) (- 1 (pow a 3))) (* (* (pow a 3) 729) (- (pow a 3)))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 583 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (- 1 (pow a 4)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (pow a 3) (* 729 (pow a 3))))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (- 1 (* a 3)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (- 1 (pow a 4)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (pow a 3) (* 729 (pow a 3))))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (- 1 (* a 3)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 584 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* -3 a)) (* a a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* a a) (+ a 1)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (+ (* (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* (pow a 3) 729) (- (pow a 3))) (* (* b b) (- 1 (pow a 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* -3 a)) (* a a)))) (* (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (+ a 1)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* -3 a)) (* a a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* a a) (+ a 1)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (+ (* (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* (pow a 3) 729) (- (pow a 3))) (* (* b b) (- 1 (pow a 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* -3 a)) (* a a)))) (* (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (+ a 1)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 585 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a -3)) (* a a)))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (+ 1 (* a a)) (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a -3)) (* a a))))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a -3)) (* a a)))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (+ 1 (* a a)) (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a -3)) (* a a))))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 586 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (+ (+ 1 a) (* a a)) (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow (* a a) 3))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (+ (+ 1 a) (* a a)) (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow (* a a) 3))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 587 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3)))) (- 1 (pow (* 9 (* a a)) 3))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* -3 a) 1) (+ (* a a) (+ a 1)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3)))) (- 1 (pow (* 9 (* a a)) 3))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* -3 a) 1) (+ (* a a) (+ a 1)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 588 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* a a) (+ a 1)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* b b) (- 1 (pow a 3)))) (- 1 (pow (* a (* a 9)) 3)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- 1 (* a 3)) (+ (* a a) (+ a 1))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* a a) (+ a 1)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* b b) (- 1 (pow a 3)))) (- 1 (pow (* a (* a 9)) 3)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- 1 (* a 3)) (+ (* a a) (+ a 1))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 589 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- 1 (* a 3)) (+ (+ 1 a) (* a a))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (+ (* a a) (* (* -3 a) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (pow (* (* a 9) a) 3))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* -3 a) (* a a)))))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- 1 (* a 3)) (+ (+ 1 a) (* a a))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (+ (* a a) (* (* -3 a) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (pow (* (* a 9) a) 3))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* -3 a) (* a a)))))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 590 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* a (* a 9)) 3)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* a (* a 9)) 3)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 591 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 a))))) (* (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (pow (* (* 9 a) a) 3)))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 a))))) (* (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (pow (* (* 9 a) a) 3)))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 592 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (- 1 (pow (* a a) 3))) (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (+ 1 a))) (* (* (- 1 (* a a)) (- 1 (pow (* (* a 3) (* a 3)) 3))) (* (* b b) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a)))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 1 a)) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3))))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (- 1 (pow (* a a) 3))) (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (+ 1 a))) (* (* (- 1 (* a a)) (- 1 (pow (* (* a 3) (* a 3)) 3))) (* (* b b) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a)))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 1 a)) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3))))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 593 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ 1 a)) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow a 4)))) (* (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (+ 1 (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (* (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ 1 a)) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow a 4)))) (* (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (+ 1 (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (* (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 594 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (* a a)) (* b b))) (- 1 (pow (* (* a 3) (* a 3)) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a)) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (* a a)) (* b b))) (- 1 (pow (* (* a 3) (* a 3)) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a)) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 595 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* b (- 1 (* a a))) (* b (+ 1 (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))))) (* (* (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (+ 1 a) (+ 1 (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* b (- 1 (* a a))) (* b (+ 1 (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))))) (* (* (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (+ 1 a) (+ 1 (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 596 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (+ 1 a) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))))) (* (+ (* (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (+ 1 a)) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (* a a)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a 3) (* a 3)) 3))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (+ 1 a) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))))) (* (+ (* (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (+ 1 a)) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (* a a)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a 3) (* a 3)) 3))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 597 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))))) (* (* (+ (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (* a a))))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))))) (* (* (+ (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (* a a))))) (* (+ (+ 1 (* (* 9 a) a)) (* (* (* 9 a) a) (* (* 9 a) a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 598 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 599 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 (* a -3)) (+ (* a a) (+ a 1))))) (* (* (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 (* a -3)) (+ (* a a) (+ a 1))))) (* (* (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 600 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (* (* (+ 1 (* (* a 3) (* a 3))) (+ (* a a) (+ a 1))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a -3)) (* a a)))))) (* (* (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a -3)) (* a a))))) (* (* (* (+ 1 (* (* a 3) (* a 3))) (+ (* a a) (+ a 1))) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (* (* (+ 1 (* (* a 3) (* a 3))) (+ (* a a) (+ a 1))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a -3)) (* a a)))))) (* (* (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a -3)) (* a a))))) (* (* (* (+ 1 (* (* a 3) (* a 3))) (+ (* a a) (+ a 1))) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 601 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (* b b) (- 1 (pow a 3)))) (* (+ 1 (* a (* a 9))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ 1 (* a (* a 9))) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (* b b) (- 1 (pow a 3)))) (* (+ 1 (* a (* a 9))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ 1 (* a (* a 9))) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 602 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (pow a 3))))) (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* (+ 1 (* a -3)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ 1 (* a (* 9 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (pow a 3))))) (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* (+ 1 (* a -3)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ 1 (* a (* 9 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 603 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (+ 1 (* a (* 9 a))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))) (* (+ 1 (* a (* 9 a))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (+ 1 (* a (* 9 a))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))) (* (+ 1 (* a (* 9 a))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 604 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))) (* (* (+ 1 (* a (* a 9))) (+ (+ 1 a) (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ 1 (* -3 a))) (* (+ (+ 1 a) (* a a)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* a (* a 9))) (+ (+ 1 a) (* a a))) (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (* b b) (- 1 (pow a 3))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* a (* a 9)) (* a (* a 9)))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))) (* (* (+ 1 (* a (* a 9))) (+ (+ 1 a) (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ 1 (* -3 a))) (* (+ (+ 1 a) (* a a)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* a (* a 9))) (+ (+ 1 a) (* a a))) (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (* b b) (- 1 (pow a 3))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* a (* a 9)) (* a (* a 9)))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 605 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3)))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* (* b b) (- 1 (pow a 3))) (+ (* a a) (* (* a -3) (* a a))))) (* (- 1 (* a a)) (* (* (+ 1 (* a (* a 9))) (+ (+ 1 a) (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a -3) (* a a)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a (* a 9))) (+ (+ 1 a) (* a a))) (+ (* a a) (* (* a -3) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a -3)))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* (* b b) (- 1 (pow a 3))) (+ (* a a) (* (* a -3) (* a a))))) (* (- 1 (* a a)) (* (* (+ 1 (* a (* a 9))) (+ (+ 1 a) (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a -3) (* a a)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a (* a 9))) (+ (+ 1 a) (* a a))) (+ (* a a) (* (* a -3) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 606 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (* (* a 3) (* a 3))) (+ 1 a)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* (* a 3) (* a 3))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 (* (* a 3) (* a 3))) (+ 1 a)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* (* a 3) (* a 3))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 607 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (* (+ 1 (* a (* a 9))) (+ 1 a)))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (- 1 (* a (* a 9)))) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a (* a 9))) (+ 1 a))) (+ 1 (* a a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (* (+ 1 (* a (* a 9))) (+ 1 a)))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (- 1 (* a (* a 9)))) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a (* a 9))) (+ 1 a))) (+ 1 (* a a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 608 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (+ 1 (* a -3)) (+ (* a a) (+ a 1))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (+ 1 (* a -3)) (+ (* a a) (+ a 1))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 609 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- 1 (pow a 4)) (* (* (+ (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a -3) (* a a)))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (+ 1 (* a a)) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (* a a))) (+ (* a a) (* (* a -3) (* a a))))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ 1 a) (+ 1 (* a a))) (+ (* a a) (* (* a -3) (* a a)))) (+ 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- 1 (pow a 4)) (* (* (+ (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a -3) (* a a)))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (+ 1 (* a a)) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (* a a))) (+ (* a a) (* (* a -3) (* a a))))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ 1 a) (+ 1 (* a a))) (+ (* a a) (* (* a -3) (* a a)))) (+ 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 610 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 a)) (+ 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 a)) (+ 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 611 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))) (* (+ 1 (* a (* a 9))) (* (+ 1 (* a a)) (+ 1 a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* a -3)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a))))) (* (* (+ 1 (* a (* a 9))) (+ 1 a)) (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))) (* (+ 1 (* a (* a 9))) (* (+ 1 (* a a)) (+ 1 a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* a -3)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a))))) (* (* (+ 1 (* a (* a 9))) (+ 1 a)) (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 612 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- 1 (* a a)) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a -3) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- 1 (* a a)) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 613 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (+ 1 (* a (* a 9))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))))) (* (* (* (+ 1 a) (* (+ 1 (* a (* a 9))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* a -3) 1) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (+ 1 (* a (* a 9))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))))) (* (* (* (+ 1 a) (* (+ 1 (* a (* a 9))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 614 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 615 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 616 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* a -3) 1))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a -3) (* a a)) (* a a))) (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a -3) (* a a)) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* a -3) 1))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a -3) (* a a)) (* a a))) (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a -3) (* a a)) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 617 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4) (+ (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a a) (* -3 a))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))) (* (+ 1 (* a a)) (+ (* a a) (* (* a a) (* -3 a))))))))) (* (* (* (+ (* a a) (* (* a a) (* -3 a))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4) (+ (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a a) (* -3 a))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))) (* (+ 1 (* a a)) (+ (* a a) (* (* a a) (* -3 a))))))))) (* (* (* (+ (* a a) (* (* a a) (* -3 a))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 618 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* a a) (* (* a a) (* a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* a 3) (* a 3)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* a a) (* (* a a) (* a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* a 3) (* a 3)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 619 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (+ 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (+ 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* a a) (+ a 1)) (+ (* -3 a) 1))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 620 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* a -3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (+ (* a a) (+ a 1))))))) (* (* (+ (* (+ (* a a) (+ a 1)) (pow a 4)) (* (* (+ (* a a) (+ a 1)) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* a -3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (+ (* a a) (+ a 1))))))) (* (* (+ (* (+ (* a a) (+ a 1)) (pow a 4)) (* (* (+ (* a a) (+ a 1)) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 621 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (* (+ (* (* (+ (* a a) (* (* a -3) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* a 9) a))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (+ (* a a) (* (* a -3) (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (* (+ (* a a) (* (* a -3) (* a a))) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (* (+ (* (* (+ (* a a) (* (* a -3) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* a 9) a))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (+ (* a a) (* (* a -3) (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (* (+ (* a a) (* (* a -3) (* a a))) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 622 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (+ (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow (* a a) 3)) (+ 1 a))) (* (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (+ (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow (* a a) 3)) (+ 1 a))) (* (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 623 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (+ 1 (* a a)) (* (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow a 4)) (+ 1 a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1)) (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (+ 1 (* a a)) (* (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow a 4)) (+ 1 a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* -9 (* a a)) 1)) (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 624 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (- 1 (* a 3)) (+ (+ 1 a) (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (- 1 (* a 3)) (+ (+ 1 a) (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 625 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ 1 (* a a))) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (* a a))))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (+ (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* -3 a) (* a a)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 a) (+ 1 (* a a))) (+ (* a a) (* (* -3 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ 1 (* a a))) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (* a a))))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (+ (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* -3 a) (* a a)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 a) (+ 1 (* a a))) (+ (* a a) (* (* -3 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 626 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ 1 (* a -3)) (+ (* a a) (+ a 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (+ (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (* (* b b) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ 1 a))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ 1 (* a -3)) (+ (* a a) (+ a 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (+ (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (* (* b b) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ 1 a))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 627 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (+ (* (* (- 1 (* (* a 3) (* a 3))) (- 1 (* a a))) (* (* b b) (+ 1 (* a a)))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (* (+ 1 a) (+ 1 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (+ (* (* (- 1 (* (* a 3) (* a 3))) (- 1 (* a a))) (* (* b b) (+ 1 (* a a)))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (* (+ 1 a) (+ 1 (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 628 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a))))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ 1 a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ 1 (* -9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a))))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ 1 a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 629 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (* (+ (* a a) (* (* a a) (* -3 a))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 a))) (* (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 (* a a)))) (+ (* a a) (* (* a a) (* -3 a)))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (+ (* a a) (* (* a a) (* -3 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (* (+ (* a a) (* (* a a) (* -3 a))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 a))) (* (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 (* a a)))) (+ (* a a) (* (* a a) (* -3 a)))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ 1 (* -3 a)) (+ (+ 1 a) (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (+ (* a a) (* (* a a) (* -3 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 630 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a -3))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* b b) (- 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a -3))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* b b) (- 1 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 631 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))) (+ (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (- 1 (pow a 4)))) (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (pow (* a (* a 9)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))) (+ (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (- 1 (pow a 4)))) (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (pow (* a (* a 9)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 632 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow (* (* a 9) a) 3)) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ 1 (* -3 a))) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow (* (* a 9) a) 3)) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ 1 (* -3 a))) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 9) a)))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 633 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a a)) (+ (* a a) (* (* a -3) (* a a)))) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))))) (* (* (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* a a) (* (* a -3) (* a a)))) (- 1 (pow (* (* a 3) (* a 3)) 3))) (* (* (+ (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a -3) (* a a)))) (* (- 1 (pow a 4)) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a a)) (+ (* a a) (* (* a -3) (* a a)))) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))))) (* (* (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* a a) (* (* a -3) (* a a)))) (- 1 (pow (* (* a 3) (* a 3)) 3))) (* (* (+ (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a -3) (* a a)))) (* (- 1 (pow a 4)) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 634 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))))) (* (* (+ (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 a)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 (* a -3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 9) a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a)))))) (* (* (+ (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 a)))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 (* a -3)) (+ (* a a) (+ a 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 635 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4) (+ (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (* b b) (- 1 a)) (+ 1 (* a a)))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow a 4)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (- 1 (* a 3)) (+ (+ 1 a) (* a a)))))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ 1 (* a a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4) (+ (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (* b b) (- 1 a)) (+ 1 (* a a)))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow a 4)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (- 1 (* a 3)) (+ (+ 1 a) (* a a)))))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ 1 (* a a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* 9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 636 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1)))) (* (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (* a a)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (- 1 a) (* b b))) (- 1 (pow (* a (* 9 a)) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1)))) (* (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (* a a)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (- 1 a) (* b b))) (- 1 (pow (* a (* 9 a)) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 637 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* (* b b) (- 1 a)) (+ (* (* a -3) (* a a)) (* a a)))) (* (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (+ (* (* a -3) (* a a)) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* (* b b) (- 1 a)) (+ (* (* a -3) (* a a)) (* a a)))) (* (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a -3) 1) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3)))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (+ (* (* a -3) (* a a)) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 638 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* (+ 1 (* (* a 3) (* a 3))) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ 1 (* (* a 3) (* a 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* (+ 1 (* (* a 3) (* a 3))) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a 3) (* a 3))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ 1 (* (* a 3) (* a 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 639 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) (- 1 a)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a)))) (* (* (+ 1 (* a (* 9 a))) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (+ 1 (* a -3))))) (* (* (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) (- 1 a)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a)))) (* (* (+ 1 (* a (* 9 a))) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (+ 1 (* a -3))))) (* (* (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 640 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a -3) (* a a)) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* (* 9 a) a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))))) (* (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a -3) (* a a)) (* a a))) (* (* (* b b) (- 1 a)) (- 1 (* (* (* 9 a) a) (* (* 9 a) a))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* 9 a) a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a -3) (* a a)) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* (* 9 a) a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))))) (* (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a -3) (* a a)) (* a a))) (* (* (* b b) (- 1 a)) (- 1 (* (* (* 9 a) a) (* (* 9 a) a))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* 9 a) a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 641 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* (* a -3) (* a a)) (* a a)))) (* (* (+ 1 (* a (* 9 a))) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (+ (* (* a -3) (* a a)) (* a a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* a -3) 1) (+ (+ 1 a) (* a a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a a)) (* (+ (* (* a -3) (* a a)) (* a a)) (+ 1 (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* (* a -3) (* a a)) (* a a)))) (* (* (+ 1 (* a (* 9 a))) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (+ (* (* a -3) (* a a)) (* a a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* a -3) 1) (+ (+ 1 a) (* a a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a a)) (* (+ (* (* a -3) (* a a)) (* a a)) (+ 1 (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 642 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 1 (* a (* a 9)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a (* a 9))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 1 (* a (* a 9)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ 1 (* a -3)) (+ (+ 1 a) (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* a 9))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a (* a 9))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 643 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4) (+ (* (- 1 (pow a 4)) (* (+ 1 (* a (* 9 a))) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 a)) (+ 1 (* a a)))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))) (* (+ 1 (* a a)) (+ 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4) (+ (* (- 1 (pow a 4)) (* (+ 1 (* a (* 9 a))) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 a)) (+ 1 (* a a)))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))) (* (+ 1 (* a a)) (+ 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 644 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (* (* (* b b) (- 1 a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* a -3)) (+ (* a a) (+ a 1)))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a (* 9 a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (* (* (* b b) (- 1 a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 (* a -3)) (+ (* a a) (+ a 1)))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a (* 9 a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 645 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))) (* (+ (* a a) (* (* a -3) (* a a))) (+ 1 (* a (* 9 a)))))) (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* a a) (* (* a -3) (* a a))) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a -3) (* a a)))) (* (- 1 (* a a)) (+ 1 (* a (* 9 a)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (- 1 (* a (* 9 a)))) (* (+ (* a a) (* (* a -3) (* a a))) (+ 1 (* a (* 9 a)))))) (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* a a) (* (* a -3) (* a a))) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a -3) (* a a)))) (* (- 1 (* a a)) (+ 1 (* a (* 9 a)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (+ (* a -3) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 646 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a)))) (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a))))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (- (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (pow (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) 3) (pow (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a)))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a)))) (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a))))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (- (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (- 1 (* a (* 9 a))))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* -3 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (pow (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) 3) (pow (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a)))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 647 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9)))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9)))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))) (- (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9)))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9)))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9)))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ (+ 1 a) (* a a))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))) (- (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9)))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) 1)) * * * * [misc]progress: [ 648 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (- 1 (* (* 9 a) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* -3 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))))) 1)) * * * * [misc]progress: [ 649 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (pow 1 3) (pow a 3))))) (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (+ (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))))) (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (- 1 (* (* a a) 9))))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (+ (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))))) (* (+ 1 (* -3 a)) (+ (* a a) (+ a 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) 1)) * * * * [misc]progress: [ 650 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a 9) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (- 1 (pow (* (* a 9) a) 3)) (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a 9) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (- 1 (pow (* (* a 9) a) 3)) (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 651 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1)) (+ (* (* (* b b) (- 1 (pow a 3))) 1) (* (* (* b b) (- 1 (pow a 3))) (* (* 729 (pow a 3)) (* (* a a) (- a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (+ 1 (* a -3))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* 9 a) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1)) (* (+ (* a a) (+ a 1)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1)) (+ (* (* (* b b) (- 1 (pow a 3))) 1) (* (* (* b b) (- 1 (pow a 3))) (* (* 729 (pow a 3)) (* (* a a) (- a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (+ 1 (* a -3))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* 9 a) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1)) (* (+ (* a a) (+ a 1)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 652 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* (pow a 3) 729) (- (pow a 3))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ 1 a) (+ 1 (* a -3))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* (pow a 3) 729) (- (pow a 3))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ 1 a) (+ 1 (* a -3))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 653 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ (+ 1 a) (* a a)) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ (* (* a 3) (* a 3)) 1))) (* (* (+ (* a a) (* (* a a) (* a -3))) (+ (* a a) (* (* a a) (* a 3)))) (- 1 (pow a 4)))) (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (* (* a a) (- a))))) (* (+ (* a a) 1) (+ (* a a) (* (* a a) (* a -3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* a -3)))) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ (* (* a 3) (* a 3)) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ (+ 1 a) (* a a)) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ (* (* a 3) (* a 3)) 1))) (* (* (+ (* a a) (* (* a a) (* a -3))) (+ (* a a) (* (* a a) (* a 3)))) (- 1 (pow a 4)))) (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (* (* a a) (- a))))) (* (+ (* a a) 1) (+ (* a a) (* (* a a) (* a -3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* a -3)))) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ (* (* a 3) (* a 3)) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 654 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (* (+ 1 (* a -3)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (pow (* (* a a) 9) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (pow a 3)) (* b b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (* (+ 1 (* a -3)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (pow (* (* a a) 9) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (pow a 3)) (* b b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 655 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ 1 a) (+ (* a -3) 1))) (* (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- 1 (pow a 3)) (* (* b b) (+ (* a a) 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)) (* (+ (* a a) 1) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ 1 a) (+ (* a -3) 1))) (* (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- 1 (pow a 3)) (* (* b b) (+ (* a a) 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)) (* (+ (* a a) 1) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 656 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (* a a)))) (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (* (* a a) (- a))))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (- 1 (* a a)))) (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (* (* a a) (- a))))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 657 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* (* a 9) a)) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (+ (* (* a 9) a) 1) (* (* (* a 9) a) (* (* a 9) a)))))) (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* (* a 9) a) 3))) (* (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a 9) a) 1) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (+ 1 (* a -3)))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* (* a 9) a)) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (+ (* (* a 9) a) 1) (* (* (* a 9) a) (* (* a 9) a)))))) (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* (* a 9) a) 3))) (* (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a 9) a) 1) (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (+ 1 (* a -3)))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 658 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (- 1 (pow (* (* a 9) a) 3))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (* (* a 9) a) 1) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a))))) (* (* (* (+ (+ (* (* a 9) a) 1) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* (* a 9) a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (- 1 (pow (* (* a 9) a) 3))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (* (* a 9) a) 1) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a))))) (* (* (* (+ (+ (* (* a 9) a) 1) (* (* (* a 9) a) (* (* a 9) a))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* (* a 9) a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 659 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a a) 1) (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* a a) 9) 3))))) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* a -3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a a) 1) (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* a a) 9) 3))))) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* a -3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 660 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (* (+ (* -3 a) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a 3) (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (* (+ (* -3 a) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a 3) (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 661 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1)) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* b b) (- 1 (* a a))))) (* (* (+ (+ (* (* a 3) (* a 3)) 1) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (+ 1 a)) (* (- 1 (* (* a a) (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ (* (* a 3) (* a 3)) 1) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (* -3 a) (* a a)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1)) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* b b) (- 1 (* a a))))) (* (* (+ (+ (* (* a 3) (* a 3)) 1) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (+ 1 a)) (* (- 1 (* (* a a) (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ (* (* a 3) (* a 3)) 1) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (* -3 a) (* a a)) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 662 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (pow (* 9 (* a a)) 3))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (pow (* a a) 3)))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (pow (* 9 (* a a)) 3))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (pow (* a a) 3)))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 663 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (* a a) (* a a))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)) (* (+ 1 a) (+ (* (* a a) (* a 3)) (* a a))))) (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (+ (* a a) 1) (+ 1 a)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (* a a) (* a a))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)) (* (+ 1 a) (+ (* (* a a) (* a 3)) (* a a))))) (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (+ (* a a) 1) (+ 1 a)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 664 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))))) (* (+ (* (* (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* 9 a) a) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (* (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (* (- 1 (* (* 9 a) a)) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))))) (* (+ (* (* (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a)) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* 9 a) a) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (* (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (* (- 1 (* (* 9 a) a)) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 665 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (+ (* (* a a) (* a -3)) (* a a)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a -3)) (* a a))) (- 1 (* (* 729 (pow a 3)) (pow a 3)))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (+ (* (* a a) (* a -3)) (* a a)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a -3)) (* a a))) (- 1 (* (* 729 (pow a 3)) (pow a 3)))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 666 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (* (+ 1 (* (* a 3) (* a 3))) (+ (* a a) (+ a 1))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (+ 1 (* (* a 3) (* a 3))) (+ (* a a) (+ a 1)))) (- 1 (* (pow a 3) (pow a 3)))) (* (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (+ 1 a) (- 1 (* a 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (* (+ 1 (* (* a 3) (* a 3))) (+ (* a a) (+ a 1))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (+ 1 (* (* a 3) (* a 3))) (+ (* a a) (+ a 1)))) (- 1 (* (pow a 3) (pow a 3)))) (* (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (+ 1 a) (- 1 (* a 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 667 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (* (+ 1 a) (+ 1 (* a -3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (- 1 (* (* a a) 9))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (* (+ 1 a) (+ 1 (* a -3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (- 1 (* (* a a) 9))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 668 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (* (+ (* -3 a) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (* (* -3 a) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (* (* -3 a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (* (+ (* -3 a) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (* (* -3 a) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (* (* -3 a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 669 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 1 (* (* a a) 9)) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a))))) (* (* (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (+ 1 a) (+ 1 (* -3 a)))) (* (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 1 (* (* a a) 9)) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a))))) (* (* (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (+ 1 a) (+ 1 (* -3 a)))) (* (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 670 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* a -3))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* a -3))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 671 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) 1)) (+ 1 (* (* a a) 9))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ 1 (* a -3)) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b (- 1 (pow a 3))) (* b (+ (* a a) 1)))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))) (+ 1 (* (* a a) 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) 1)) (+ 1 (* (* a a) 9))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ 1 (* a -3)) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b (- 1 (pow a 3))) (* b (+ (* a a) 1)))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))) (+ 1 (* (* a a) 9))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 672 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ 1 (* -3 a))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* b b) (- 1 (pow a 3)))) (* (- 1 (* a a)) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ 1 (* -3 a))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* b b) (- 1 (pow a 3)))) (* (- 1 (* a a)) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 673 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* (* a a) (* -3 a)) (* a a)) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ 1 (* (* a a) 9)) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ 1 (* -3 a))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 a) (* a a))) (+ 1 (* (* a a) 9)))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ (* (* a a) (* -3 a)) (* a a)) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ 1 (* (* a a) 9)) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* (* a a) (* a 3)) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ 1 (* -3 a))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 a) (* a a))) (+ 1 (* (* a a) 9)))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 674 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (* (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (* (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 675 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (* a -3) 1) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (- 1 (* (* a a) (* a a)))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (* a -3) 1) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (- 1 (* (* a a) (* a a)))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 676 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* a a) (* (* a -3) (* a a)))) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* (* (+ 1 (* (* a 3) (* a 3))) (+ 1 a)) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* a -3) 1) (+ 1 a))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ 1 (* (* a 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (* (* a -3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* a a) (* (* a -3) (* a a)))) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* (* (+ 1 (* (* a 3) (* a 3))) (+ 1 a)) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* a -3) 1) (+ 1 a))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ 1 (* (* a 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (* (* a -3) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 677 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (* (+ 1 a) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* a -3)))) (+ 1 (* (* a a) 9)))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (+ 1 (* a -3)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* a a) (* (* a a) (* a -3))) (+ (* a a) 1))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (* (+ 1 a) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* a -3)))) (+ 1 (* (* a a) 9)))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (+ 1 (* a -3)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* a a) (* (* a a) (* a -3))) (+ (* a a) 1))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 678 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 (* a (* a 9))) (+ 1 a))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ 1 a) (+ (* a -3) 1)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ 1 (* a (* a 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a)))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 (* a (* a 9))) (+ 1 a))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ 1 a) (+ (* a -3) 1)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ 1 (* a (* a 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a)))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 679 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a)))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (* (* b b) (* (- 1 (* a a)) (+ (* a a) 1))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ 1 a) (+ (* a a) 1)) (+ 1 (* (* a a) 9)))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a)))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (* (* b b) (* (- 1 (* a a)) (+ (* a a) 1))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ 1 a) (+ (* a a) 1)) (+ 1 (* (* a a) 9)))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 680 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (* (* (+ 1 a) (+ 1 (* -3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (- 1 (* a a)) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (+ 1 (* (* a a) 9)) (+ 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (* (* (+ 1 a) (+ 1 (* -3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (- 1 (* a a)) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (+ 1 (* (* a a) 9)) (+ 1 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 681 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (* (* a a) (* -3 a))) (+ 1 (* (* a a) 9))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* b b) (- 1 (* a a))) (+ (* a a) (* (* a a) (* -3 a))))) (* (+ 1 (* (* a a) 9)) (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a a) (* (* a a) (* -3 a))) (+ 1 (* (* a a) 9))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* b b) (- 1 (* a a))) (+ (* a a) (* (* a a) (* -3 a))))) (* (+ 1 (* (* a a) 9)) (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 682 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))))) (* (+ (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a)))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* 9 (* a a))))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))))) (* (+ (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a)))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* 9 (* a a))))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 683 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (- 1 (* a (* a 9)))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) 1) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* -3 a) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* a a) 1) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (- 1 (* a (* a 9)))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) 1) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* -3 a) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* a a) 1) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 684 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* a a) (+ a 1)))) (* (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ (* a a) (+ a 1)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* a a) (+ a 1)))) (* (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ (* a a) (+ a 1)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 685 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (+ 1 (* a -3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (- (* a a) (* (* a a) (* a 3))) (* (+ (* a a) 1) (+ (+ 1 a) (* a a))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (+ 1 (* a -3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (- (* a a) (* (* a a) (* a 3))) (* (+ (* a a) 1) (+ (+ 1 a) (* a a))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 686 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3)))) (* (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (+ a 1)))) (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3)))) (* (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (+ a 1)))) (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 687 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (* 9 (* a a))) (+ (* a a) 1))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (+ (* -3 a) 1))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* a a) (+ a 1)) (+ (* a a) 1))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (* 9 (* a a))) (+ (* a a) 1))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (+ (* -3 a) 1))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* a a) (+ a 1)) (+ (* a a) 1))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 688 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (* a -3) 1) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ 1 a) (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (* a -3) 1) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ 1 a) (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 689 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a)))) (* (- 1 (* a (* a 9))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ 1 (* -3 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a)))) (* (- 1 (* a (* a 9))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ 1 (* -3 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 690 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 691 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (* a a) 1) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a a) 9))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 (* a -3)) (+ 1 a))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (* a a) 1) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a a) 9))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 (* a -3)) (+ 1 a))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 692 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (* a (* a 9)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* (* a -3) (* a a)) (* a a))))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (+ 1 a) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a -3) (* a a)) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (* a (* a 9)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* (* a -3) (* a a)) (* a a))))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (+ 1 a) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a -3) (* a a)) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 693 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 9) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (+ (* (* -3 a) (* a a)) (* a a)) (* (+ (* a a) 1) (+ 1 a))))) (* (* (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))))) (* (* (+ (* -3 a) 1) (+ 1 a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1)) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a 9) a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 9) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (+ (* (* -3 a) (* a a)) (* a a)) (* (+ (* a a) 1) (+ 1 a))))) (* (* (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))))) (* (* (+ (* -3 a) 1) (+ 1 a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1)) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a 9) a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 694 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (+ 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* a -3) 1) (+ 1 a))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (+ 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* a -3) 1) (+ 1 a))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 695 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a a) (* a 3)) (* a a))) (+ 1 a)) (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (* (* b b) (+ (* a a) 1))))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (+ 1 a) (* (* a -3) (+ 1 a))))) (* (* (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* a a) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a a) (* a 3)) (* a a))) (+ 1 a)) (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (* (* b b) (+ (* a a) 1))))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (+ 1 a) (* (* a -3) (+ 1 a))))) (* (* (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* a a) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 696 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 (* a a))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ 1 a)))) (* (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (* (+ 1 a) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (* (* a a) (* a a)) (+ 1 a)))) (* (* (* (- 1 (* (* a a) 9)) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 (* a a))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ 1 a)))) (* (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (* (+ 1 a) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (* (* a a) (* a a)) (+ 1 a)))) (* (* (* (- 1 (* (* a a) 9)) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 697 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (* (- 1 (* a a)) (* b b)) (+ (* a a) (* (* a a) (* a -3)))) (- 1 (* (* 9 a) a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))))) (* (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (+ 1 a) (+ (* a a) (* (* a a) (* a -3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (* (- 1 (* a a)) (* b b)) (+ (* a a) (* (* a a) (* a -3)))) (- 1 (* (* 9 a) a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))))) (* (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (+ 1 a) (+ (* a a) (* (* a a) (* a -3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 698 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* (* a 9) a) 3)) (* (* b b) (- 1 a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* (* a 9) a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow (* (* a 9) a) 3)) (* (* b b) (- 1 a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* (* a 9) a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 699 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (* a (* 9 a)) 1) (* (* a (* 9 a)) (* a (* 9 a)))) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (+ (* a a) 1) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 a)) (- 1 (pow (* a (* 9 a)) 3))))) (* (* (+ (+ (* a (* 9 a)) 1) (* (* a (* 9 a)) (* a (* 9 a)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (* a a) (* a a))))) (* (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ (* a (* 9 a)) 1) (* (* a (* 9 a)) (* a (* 9 a)))) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (+ (* a a) 1) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 a)) (- 1 (pow (* a (* 9 a)) 3))))) (* (* (+ (+ (* a (* 9 a)) 1) (* (* a (* 9 a)) (* a (* 9 a)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (* a a) (* a a))))) (* (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 700 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (+ (* a a) (* (* a a) (* -3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (pow (* a (* a 9)) 3)))) (* (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ 1 (* -3 a)) (+ 1 a)))) (* (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))) (* (+ (* a a) (* (* a a) (* -3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (+ (* a a) (* (* a a) (* -3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (pow (* a (* a 9)) 3)))) (* (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ 1 (* -3 a)) (+ 1 a)))) (* (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))) (* (+ (* a a) (* (* a a) (* -3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 701 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* -3 a) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (+ (* (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* (* a a) 9) 3))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* -3 a) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (+ (* (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* (* a a) 9) 3))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 702 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* a (* a 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (+ (* (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* a (* a 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (+ (* (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 703 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))) (* (- 1 (* (* a a) (* a a))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* b b) (- 1 a)) (+ (* a a) 1))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (+ 1 a) (- 1 (* a 3))))) (* (* (* (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))) (+ (* a a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))) (* (- 1 (* (* a a) (* a a))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* b b) (- 1 a)) (+ (* a a) 1))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (+ 1 a) (- 1 (* a 3))))) (* (* (* (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))) (+ (* a a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 704 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* (* 9 a) a)) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a)))))) (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (- 1 (* a a)) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a))))) (* (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* b b) (- 1 a))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* (* 9 a) a)) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a)))))) (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (- 1 (* a a)) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a))))) (* (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* b b) (- 1 a))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 705 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (* (- 1 a) (* b b)) (+ (* (* a a) (* a -3)) (* a a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* 9 a) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a))) (+ (* (* a a) (* a -3)) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (* (- 1 a) (* b b)) (+ (* (* a a) (* a -3)) (* a a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* 9 a) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a))) (+ (* (* a a) (* a -3)) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 706 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* (+ 1 (* (* a 3) (* a 3))) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* a -3) 1) (+ 1 a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* (* a 3) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* (+ 1 (* (* a 3) (* a 3))) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* a -3) 1) (+ 1 a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* (* a 3) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 707 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a a) 1) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* (* a a) 9))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (* (+ 1 (* (* a a) 9)) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a a) 1) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* (* a a) 9))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (* (+ 1 (* (* a a) 9)) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 708 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (- 1 (* (* a a) 9))) (* (- 1 (* a a)) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* a -3) (* a a)) (* a a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (+ (* (* (* (* (* b b) (- 1 a)) (+ (* (* a -3) (* a a)) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (- 1 (* (* a a) 9))) (* (- 1 (* a a)) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* a -3) (* a a)) (* a a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (+ (* (* (* (* (* b b) (- 1 a)) (+ (* (* a -3) (* a a)) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 709 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ 1 a) (+ (* -3 a) 1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* -3 a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ 1 (* (* a a) 9)) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))))) (* (* (* (+ (* a a) 1) (* (+ (* a a) (* (* a a) (* -3 a))) (+ 1 (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ 1 a) (+ (* -3 a) 1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* -3 a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ 1 (* (* a a) 9)) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))))) (* (* (* (+ (* a a) 1) (* (+ (* a a) (* (* a a) (* -3 a))) (+ 1 (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 710 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 1 (* 9 (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ 1 (* a -3)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ 1 a) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 1 (* 9 (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ 1 (* a -3)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ 1 a) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 711 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* (* a 9) a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ 1 (* (* a 9) a)) (+ (* a a) 1)))) (* (* (* (+ (* (* (+ 1 (* (* a 9) a)) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (* (* a a) (* a a)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- 1 a) (* b b)) (+ (* a a) 1)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* (* a 9) a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ 1 (* (* a 9) a)) (+ (* a a) 1)))) (* (* (* (+ (* (* (+ 1 (* (* a 9) a)) (+ (* (* a a) (* a 3)) (* a a))) (- 1 (* (* a a) (* a a)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (- 1 a) (* b b)) (+ (* a a) 1)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 712 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ 1 (* (* a a) 9)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 a) (* b b)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ 1 (* (* a a) 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ 1 (* (* a a) 9)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 a) (* b b)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ 1 (* (* a a) 9))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 713 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ 1 (* (* a a) 9))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (+ (* (* a a) (* -3 a)) (* a a)) (* (- 1 a) (* b b)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 (* (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ 1 (* (* a a) 9))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (+ (* (* a a) (* -3 a)) (* a a)) (* (- 1 a) (* b b)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 (* (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 714 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9))) (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (- (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (+ (pow (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9))) 3) (pow (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9))) (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (- (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (+ (pow (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9))) 3) (pow (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 715 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* (* a a) 9)) (- 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (- (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9))) (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))))) (* (* (* (- 1 (* a 3)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9))) (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9)))) (* (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* (* a a) 9)) (- 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (- (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9))) (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))))) (* (* (* (- 1 (* a 3)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9))) (* (* (- 1 a) (* b b)) (- 1 (* (* a a) 9)))) (* (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 716 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (87 enodes) * * [misc]simplify: iters left: 5 (313 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (+ (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (+ (* 1 (* (- 1 (pow a 3)) (* b b))) (* (* (* 729 (pow a 3)) (- (pow a 3))) (* (- 1 (pow a 3)) (* b b)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (+ (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (+ (* 1 (* (- 1 (pow a 3)) (* b b))) (* (* (* 729 (pow a 3)) (- (pow a 3))) (* (- 1 (pow a 3)) (* b b)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 717 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)) (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)) (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 718 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (300 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a -3) 1) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))) (* (* (+ (* (* a a) (* a -3)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* 729 (pow a 3)) (- (pow a 3))) (* (* b b) (- 1 (pow a 3))))))))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (+ (+ 1 a) (* a a)) (* (+ (* (* a a) (* a -3)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a -3) 1) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))) (* (* (+ (* (* a a) (* a -3)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* 729 (pow a 3)) (- (pow a 3))) (* (* b b) (- 1 (pow a 3))))))))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (+ (+ 1 a) (* a a)) (* (+ (* (* a a) (* a -3)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 719 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (* (+ 1 a) (- 1 (* a 3))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (+ (* (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (+ (* a a) (+ a 1))) (* (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (* (- a) (* a a))))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (* (+ 1 a) (- 1 (* a 3))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (+ (* (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (+ (* a a) (+ a 1))) (* (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (* (- a) (* a a))))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 720 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (+ (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (+ 1 a) (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (- 1 (* 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (+ (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (+ 1 a) (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 721 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (+ (* a a) 1) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* a -3)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (+ (* a a) 1) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* a -3)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 722 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ (* a a) (+ a 1))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (+ (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ (* a a) (+ a 1)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* 729 (pow a 3)) (* (* a a) (- a))) (* (* b b) (- 1 (pow a 3))))))) (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ (* a a) (+ a 1))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (+ (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ (* a a) (+ a 1)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* 729 (pow a 3)) (* (* a a) (- a))) (* (* b b) (- 1 (pow a 3))))))) (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 723 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))))) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- 1 (* a 3)) (+ 1 a)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (+ a 1)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))))) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- 1 (* a 3)) (+ 1 a)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (+ a 1)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 724 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (+ 1 a)))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (+ 1 a)))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (* 729 (* (pow a 3) (pow a 3))))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 725 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* a a) 1) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* a (* 9 a)) 3))))) (* (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (+ 1 a)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* a a) 1) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* a (* 9 a)) 3))))) (* (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (+ 1 a)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 726 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* 9 a) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 a)) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* -3 a)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* (* 9 a) a) 3)))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* 9 a) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 a)) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* -3 a)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* (* 9 a) a) 3)))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 727 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) 1)) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* a 3) (* a 3)) 3))))) (* (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) 1)) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* a 3) (* a 3)) 3))))) (* (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 728 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (+ 1 a)) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 a)) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (+ 1 a)) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 a)) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 729 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* (+ (* a a) 1) (+ 1 a)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* a -3))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (* a a) (* (* a a) (* a 3))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* (+ (* a a) 1) (+ 1 a)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* a -3))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (* a a) (* (* a a) (* a 3))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 730 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* 9 a) a) 3))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (* (- 1 (* a 3)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* 9 a) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* 9 a) a) 3))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (* (- 1 (* a 3)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* 9 a) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ 1 (* (* 9 a) a))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 731 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a -3)) (* a a))) (- 1 (pow (* (* a a) 9) 3))) (* (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* a -3) 1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ 1 a) (+ (* (* a a) (* a -3)) (* a a))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a -3)) (* a a))) (- 1 (pow (* (* a a) 9) 3))) (* (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* a -3) 1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ 1 a) (+ (* (* a a) (* a -3)) (* a a))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 732 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ 1 (* a -3))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))) (+ 1 (* a (* a 9)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* a 9)) (* a (* a 9)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ 1 (* a -3))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))) (+ 1 (* a (* a 9)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* a 9)) (* a (* a 9)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 733 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (pow a 4)) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9)))))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (pow a 4)) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9)))))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 734 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (* (+ 1 a) (- 1 (* a 3))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (* (* (- 1 (pow a 3)) (* b b)) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (* (+ 1 a) (- 1 (* a 3))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (* (* (- 1 (pow a 3)) (* b b)) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 735 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* (* (+ (* a a) 1) (+ (* (* a a) (* -3 a)) (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- 1 (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))) (+ (* (- 1 (pow a 4)) (pow a 4)) (* (- 1 (pow a 4)) (* (* (* a a) (* -3 a)) (* (* a a) (* a 3)))))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ 1 (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) 1)) (+ (* (* a a) (* -3 a)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* (* (+ (* a a) 1) (+ (* (* a a) (* -3 a)) (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- 1 (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))) (+ (* (- 1 (pow a 4)) (pow a 4)) (* (- 1 (pow a 4)) (* (* (* a a) (* -3 a)) (* (* a a) (* a 3)))))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ 1 (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) 1)) (+ (* (* a a) (* -3 a)) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 736 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 737 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (- 1 (pow a 3)) (* (* b b) (+ (* a a) 1))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9)))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ 1 a) (+ (* -3 a) 1)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) 1)) (+ 1 (* a (* a 9)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (- 1 (pow a 3)) (* (* b b) (+ (* a a) 1))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9)))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ 1 a) (+ (* -3 a) 1)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) 1)) (+ 1 (* a (* a 9)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 738 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* b b) (- 1 (pow a 3))))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9)))))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* a -3) 1) (+ 1 a))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* b b) (- 1 (pow a 3))))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9)))))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* a -3) 1) (+ 1 a))))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 739 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* -3 a) 1) (+ 1 a)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) 4))) (+ (* (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9)))) (* (- 1 (* a a)) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* a a) (* (* a a) (* a 3)))))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (+ (* (* a a) (* -3 a)) (* a a)) (* (* b b) (- 1 (pow a 3))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ 1 (* a (* a 9)))) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* -3 a) 1) (+ 1 a)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) 4))) (+ (* (* (+ (* a a) (+ a 1)) (+ 1 (* a (* a 9)))) (* (- 1 (* a a)) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* a a) (* (* a a) (* a 3)))))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (+ (* (* a a) (* -3 a)) (* a a)) (* (* b b) (- 1 (pow a 3))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ 1 (* a (* a 9)))) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 740 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ 1 a)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (+ (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ 1 a)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (+ (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 741 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* a a) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* a (* a 9))) (+ 1 a)))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) (* (+ (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ 1 (* a (* a 9)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* a a) 1)) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a (* a 9)) (* a (* a 9))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ 1 a) (+ 1 (* a -3)))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* a a) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* a (* a 9))) (+ 1 a)))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) (* (+ (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ 1 (* a (* a 9)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* a a) 1)) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a (* a 9)) (* a (* a 9))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ 1 a) (+ 1 (* a -3)))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 742 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (* (+ 1 (* a (* a 9))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* b b) (- 1 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ 1 (* a (* a 9))) (+ 1 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (* a a)) (- 1 (* a (* a 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (* (+ 1 (* a (* a 9))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* b b) (- 1 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ 1 (* a (* a 9))) (+ 1 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (* a a)) (- 1 (* a (* a 9)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 743 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ 1 a)) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) 1)))) (* (- 1 (* (* a a) (* a a))) (* (* (+ 1 (* a (* a 9))) (+ 1 a)) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (* (* (+ 1 a) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (+ 1 (* a (* a 9))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ 1 a)) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) 1)))) (* (- 1 (* (* a a) (* a a))) (* (* (+ 1 (* a (* a 9))) (+ 1 a)) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (* (* (+ 1 a) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (+ 1 (* a (* a 9))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 744 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ 1 a) (* (+ 1 (* a (* 9 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (* (+ (* a -3) 1) (+ 1 a)) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (pow (* a a) 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ 1 a) (* (+ 1 (* a (* 9 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (* (+ (* a -3) 1) (+ 1 a)) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (pow (* a a) 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 745 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (* (* (+ 1 (* a (* a 9))) (* (+ 1 a) (+ (* a a) 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (* (+ (* a a) 1) (* (* b b) (- 1 (* a a)))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* a (* a 9))) (+ 1 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (* (* (+ 1 (* a (* a 9))) (* (+ 1 a) (+ (* a a) 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (* (+ (* a a) 1) (* (* b b) (- 1 (* a a)))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* a (* a 9))) (+ 1 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 746 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (* (* a 2) (* a (* b b)))))) (+ (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (* a a)) (* b b))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 (* -3 a)) (+ 1 a)))) (* (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (* (* a 2) (* a (* b b)))))) (+ (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (* a a)) (* b b))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 (* -3 a)) (+ 1 a)))) (* (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 747 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (* (* (* a 2) a) (* b b)))) 4))) (+ (* (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (- 1 (* a a))))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (- (* a a) (* (* a a) (* a 3)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (* (* (* a 2) a) (* b b)))) 4))) (+ (* (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (- 1 (* a a))))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (- (* a a) (* (* a a) (* a 3)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 748 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* -3 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ 1 a) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 1 a) (* a a)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* a (* 9 a))))))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* -3 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ 1 a) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 1 a) (* a a)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* a (* 9 a))))))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 749 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) (* (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (+ (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* 9 (* a a)))) (* (+ (* a a) 1) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) (* (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (+ (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* 9 (* a a)))) (* (+ (* a a) 1) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 750 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (pow a 3)))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 a) (* a a)) (+ (* (* -3 a) (* a a)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (pow a 3)))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 a) (* a a)) (+ (* (* -3 a) (* a a)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 751 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* 1 (- 1 (* a a))) (* (* -9 (* a a)) (- 1 (* a a)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* a -3)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* a a) 1) (+ (* a a) (* (* a a) (* a -3))))) (* (* (+ (* a a) (* (* a a) (* a -3))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a))))) (* (* (* (+ 1 a) (+ 1 (* a -3))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* 1 (- 1 (* a a))) (* (* -9 (* a a)) (- 1 (* a a)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* a -3)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* a a) 1) (+ (* a a) (* (* a a) (* a -3))))) (* (* (+ (* a a) (* (* a a) (* a -3))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a))))) (* (* (* (+ 1 a) (+ 1 (* a -3))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 752 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) (+ a 1))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 (pow a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a 3) (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- 1 (* a 3))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) (+ a 1))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 (pow a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a 3) (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (- 1 (* a 3))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 753 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* a -3)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4) (+ (* (+ (* -9 (* a a)) 1) (* (- 1 (pow a 3)) (* (* b b) (+ (* a a) 1)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (* a a) (+ a 1)) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* a -3)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4) (+ (* (+ (* -9 (* a a)) 1) (* (- 1 (pow a 3)) (* (* b b) (+ (* a a) 1)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (* a a) (+ a 1)) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 754 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ (+ 1 a) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ 1 a) (+ 1 (* -3 a)))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (* (+ (* (* (+ (+ 1 a) (* a a)) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (+ (+ 1 a) (* a a)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ (+ 1 a) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ 1 a) (+ 1 (* -3 a)))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (* (+ (* (* (+ (+ 1 a) (* a a)) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (+ (+ 1 a) (* a a)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 755 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4) (+ (* (+ 1 (* -9 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ (* a a) (* (* a a) (* -3 a))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* -3 a))) (+ (* a a) (* (* a a) (* a 3))))))))) (* (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (* a a) (* -3 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4) (+ (* (+ 1 (* -9 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ (* a a) (* (* a a) (* -3 a))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* -3 a))) (+ (* a a) (* (* a a) (* a 3))))))))) (* (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (* a a) (* -3 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 756 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (* (+ 1 (* a -3)) (+ 1 a)) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (* (+ 1 (* a -3)) (+ 1 a)) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 757 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a -3) 1) (+ 1 a))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* a a) 1) (+ 1 a))) (* (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a -3) 1) (+ 1 a))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* a a) 1) (+ 1 a))) (* (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 758 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ 1 a))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (* a (* a 9)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a -3) (* a a)) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- 1 (* a 3)) (+ 1 a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ 1 a) (+ (* (* a -3) (* a a)) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ 1 a))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (* a (* a 9)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a -3) (* a a)) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- 1 (* a 3)) (+ 1 a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ 1 a) (+ (* (* a -3) (* a a)) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 759 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 (* a a)))) (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* a a) 1))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (* a a) (* a a))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (* (* a -3) (* a a)) (* a a)) (* (+ (* a a) 1) (+ 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 (* a a)))) (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* a a) 1))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (* a a) (* a a))) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (* (* a -3) (* a a)) (* a a)) (* (+ (* a a) 1) (+ 1 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 760 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (+ 1 a) (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a a) (* a 3))))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* a 3) (* a 3)))))) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (+ 1 a) (- 1 (* a 3)))) (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (+ 1 a) (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a a) (* a 3))))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* a 3) (* a 3)))))) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (+ 1 a) (- 1 (* a 3)))) (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 761 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ 1 a) (* a a)) (+ 1 a)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (+ 1 a) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a))))) (* (* (* b b) (- 1 (* a a))) (* (- 1 (* 9 (* a a))) (+ (* a a) 1)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ 1 a) (* a a)) (+ 1 a)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (+ 1 a) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a))))) (* (* (* b b) (- 1 (* a a))) (* (- 1 (* 9 (* a a))) (+ (* a a) 1)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 762 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* -3 a) 1) (+ 1 a)) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ 1 a) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (* -3 a) 1) (+ 1 a)) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ 1 a) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 763 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a -3)) (+ 1 a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 a))) (* (+ (* a a) (* (* a a) (* a -3))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ 1 (* -9 (* a a))) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ 1 a) (+ (* a a) (* (* a a) (* a -3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a -3)) (+ 1 a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 a))) (* (+ (* a a) (* (* a a) (* a -3))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ 1 (* -9 (* a a))) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ 1 a) (+ (* a a) (* (* a a) (* a -3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 764 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (* (- 1 a) (* b b)) (- 1 (pow (* 9 (* a a)) 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (* (- 1 a) (* b b)) (- 1 (pow (* 9 (* a a)) 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 765 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (- 1 a))) (* (+ (* a a) 1) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))))) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* a a) 1) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (- 1 a))) (* (+ (* a a) 1) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))))) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* a a) 1) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 766 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* -3 a) 1) (+ 1 a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- 1 a) (- 1 (pow (* a (* 9 a)) 3))) (* (* b b) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* -3 a) 1) (+ 1 a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- 1 a) (- 1 (pow (* a (* 9 a)) 3))) (* (* b b) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 767 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b)))))) (+ (* (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (- 1 (* (* a a) (* a a)))) (* (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* (* a 3) (* a 3)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b)))))) (+ (* (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ 1 (* (* a 3) (* a 3)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (- 1 (* (* a a) (* a a)))) (* (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* (* a 3) (* a 3)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 768 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2)))))) (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2)))))) (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* (* a 3) (* a 3))) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 769 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (- 1 (* a 3)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- 1 (pow (* (* a a) 9) 3))) (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (- 1 (* a 3)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- 1 (pow (* (* a a) 9) 3))) (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 770 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* -3 a) 1) (+ 1 a)) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4) (+ (* (* (* (* b b) (- 1 a)) (- 1 (pow (* 9 (* a a)) 3))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* -3 a) 1) (+ 1 a)) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4) (+ (* (* (* (* b b) (- 1 a)) (- 1 (pow (* 9 (* a a)) 3))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 771 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* (* a 9) a) 3))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (- 1 (* a a)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 9) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* (* a 9) a) 3))) (* (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a)))) (- 1 (* a a)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 9) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (+ (+ 1 (* (* a 9) a)) (* (* (* a 9) a) (* (* a 9) a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 772 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (* (* a 3) (* a 3)))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (- 1 (* a 3)) (+ 1 a)) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ (* (* (+ 1 (* (* a 3) (* a 3))) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (* (* b b) (- 1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (* (* a 3) (* a 3)))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (- 1 (* a 3)) (+ 1 a)) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ (* (* (+ 1 (* (* a 3) (* a 3))) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (* (* b b) (- 1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 773 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* a -3) 1))) (* (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4)))) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* a (* a 9))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* a a) 1) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* b b) (- 1 a))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* a a) 1) (+ 1 (* a (* a 9)))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* a -3) 1))) (* (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4)))) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* a (* a 9))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* a a) 1) (* (- 1 (* (* a (* a 9)) (* a (* a 9)))) (* (* b b) (- 1 a))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* a a) 1) (+ 1 (* a (* a 9)))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 774 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ 1 (* a (* 9 a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2)))))))) (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 a)) (+ (* a a) (* (* -3 a) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ 1 (* a (* 9 a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2)))))))) (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 a)) (+ (* a a) (* (* -3 a) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 775 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* a (* a 9)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ 1 (* a (* a 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* a (* a 9)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ 1 (* a (* a 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 776 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (- 1 (* a 3)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (+ 1 (* a (* 9 a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (- 1 (* a 3)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (+ 1 (* a (* 9 a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 777 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a a) (* a 3)))) (+ 1 (* a (* 9 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ 1 (* a (* 9 a))) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a a) (* a 3)))) (+ 1 (* a (* 9 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ 1 (* a (* 9 a))) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 778 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 (* -3 a)) (+ 1 a))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 a)) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ 1 (* a (* a 9)))))))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ 1 (* a (* a 9))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 (* -3 a)) (+ 1 a))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 a)) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ 1 (* a (* a 9)))))))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ 1 (* a (* a 9))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 779 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* -3 a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (+ (* a a) (* (* a a) (* -3 a))) (* (* b b) (- 1 a))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 (* a (* a 9)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (* (* (+ (* a a) (* (* a a) (* -3 a))) (+ 1 (* a (* a 9)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* -3 a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (+ (* a a) (* (* a a) (* -3 a))) (* (* b b) (- 1 a))) (- 1 (* (* a (* a 9)) (* a (* a 9))))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 (* a (* a 9)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (* (* (+ (* a a) (* (* a a) (* -3 a))) (+ 1 (* a (* a 9)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 780 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9)))) 3) (pow (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) 3)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))))) (* (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9)))) (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9))))) (* (- (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9))))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (pow (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9)))) 3) (pow (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) 3)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))))) (* (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9)))) (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9))))) (* (- (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (* (* (- 1 a) (* b b)) (- 1 (* a (* a 9))))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 781 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a)))) (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* a -3) 1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (+ (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a)))) (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a)))) (- (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a)))) (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a)))) (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* a -3) 1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (+ (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a)))) (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a)))) (- (* (* (- 1 a) (* b b)) (- 1 (* a (* 9 a)))) (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 782 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (pow (* (* a a) 9) 3))))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (+ (* a -3) 1) (+ 1 a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (pow (* (* a a) 9) 3))))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (+ (* a -3) 1) (+ 1 a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 783 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (- 1 (* (* a a) 9)))) (* (+ (* (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) 1) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 729 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* a -3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (- 1 (* (* a a) 9)))) (* (+ (* (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) 1) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 729 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* a -3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 784 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ (* (* a 3) (* a 3)) 1))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (- 1 (pow (* a a) 3)))) (* (+ (* 1 (* (- 1 (pow a 3)) (* b b))) (* (* (* (pow a 3) 729) (- (pow a 3))) (* (- 1 (pow a 3)) (* b b)))) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ 1 (* -3 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ (* (* a 3) (* a 3)) 1))) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)))) (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ (* (* a 3) (* a 3)) 1))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (- 1 (pow (* a a) 3)))) (* (+ (* 1 (* (- 1 (pow a 3)) (* b b))) (* (* (* (pow a 3) 729) (- (pow a 3))) (* (- 1 (pow a 3)) (* b b)))) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ 1 (* -3 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ (* (* a 3) (* a 3)) 1))) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)))) (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 785 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* (* a a) (* a 3)) (* a a)) (+ (* (* a -3) (* a a)) (* a a))))) (* (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* a a) 1)) (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* (pow a 3) 729) (* (- a) (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ 1 a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (+ (* (* a -3) (* a a)) (* a a))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* (* a a) (* a 3)) (* a a)) (+ (* (* a -3) (* a a)) (* a a))))) (* (* (+ (* (* a -3) (* a a)) (* a a)) (+ (* a a) 1)) (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* (pow a 3) 729) (* (- a) (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a -3) 1) (+ 1 a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (+ (* (* a -3) (* a a)) (* a a))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 786 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a -3) 1) (+ 1 a))) (* (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (+ 1 a) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow a 3)) (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a -3) 1) (+ 1 a))) (* (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (+ 1 a) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow a 3)) (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 787 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1))) (* (- 1 (pow (* (* a 9) a) 3)) (* (* b (- 1 (pow a 3))) (* b (+ (* a a) 1))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ 1 (* -3 a)) (+ 1 a))) (* (* (* (- 1 (* a a)) (- 1 (* (* a 9) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (* (+ (* a a) (+ a 1)) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1))) (* (- 1 (pow (* (* a 9) a) 3)) (* (* b (- 1 (pow a 3))) (* b (+ (* a a) 1))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ 1 (* -3 a)) (+ 1 a))) (* (* (* (- 1 (* a a)) (- 1 (* (* a 9) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (* (+ (* a a) (+ a 1)) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 788 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* a a) (+ a 1)) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (pow (* (* a a) 9) 3))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* a a) (+ a 1)) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (pow (* (* a a) 9) 3))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 789 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (* (* a a) 9)) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* a a) (* (* a -3) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* a -3) 1))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (+ (* a a) (* (* a -3) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (+ (* a a) (* (* a -3) (* a a))))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (* (* a a) 9)) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* a a) (* (* a -3) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* a -3) 1))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (+ (* a a) (* (* a -3) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (+ (* a a) (* (* a -3) (* a a))))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 790 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* a -3) 1))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* a 3) (* a 3)) 3))))) (* (+ (+ (* (* a 3) (* a 3)) 1) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (+ (+ (* (* a 3) (* a 3)) 1) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* a -3) 1))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* a 3) (* a 3)) 3))))) (* (+ (+ (* (* a 3) (* a 3)) 1) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (+ (+ (* (* a 3) (* a 3)) 1) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 791 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))) (* (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ (* a a) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))) (* (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ (* a a) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 792 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* 9 (* a a)) 3))) (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* a -3) 1) (+ 1 a)))) (* (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* 9 (* a a)) 3))) (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* a -3) 1) (+ 1 a)))) (* (* (+ (* (* a a) (* a -3)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 793 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a -3) 1) (+ 1 a)) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4) (+ (* (* (* (+ (* a a) 1) (+ (* (* a -3) (* a a)) (* a a))) (- 1 (pow (* (* a a) 9) 3))) (* (* b b) (- 1 (* a a)))) (* (* (- 1 (* (* a a) (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (* a -3) (* a a)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a -3) 1) (+ 1 a)) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4) (+ (* (* (* (+ (* a a) 1) (+ (* (* a -3) (* a a)) (* a a))) (- 1 (pow (* (* a a) 9) 3))) (* (* b b) (- 1 (* a a)))) (* (* (- 1 (* (* a a) (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (* a -3) (* a a)) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 794 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* -3 a)) (+ 1 a)) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (- 1 (pow (* a (* 9 a)) 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (pow (* a a) 3))) (* (+ 1 a) (+ (+ (* a (* 9 a)) 1) (* (* a (* 9 a)) (* a (* 9 a))))))))) (* (* (* (+ (+ (* a (* 9 a)) 1) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* -3 a)) (+ 1 a)) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (- 1 (pow (* a (* 9 a)) 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (pow (* a a) 3))) (* (+ 1 a) (+ (+ (* a (* 9 a)) 1) (* (* a (* 9 a)) (* a (* 9 a))))))))) (* (* (* (+ (+ (* a (* 9 a)) 1) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 795 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (- 1 (* (* a a) (* a a))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ 1 a) (+ (* (* a a) (* a 3)) (* a a))))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (- 1 (* a a)) b) (* b (+ (* a a) 1)))))) (* (* (+ (* a -3) 1) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ 1 a) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (- 1 (* (* a a) (* a a))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ 1 a) (+ (* (* a a) (* a 3)) (* a a))))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (- 1 (* a a)) b) (* b (+ (* a a) 1)))))) (* (* (+ (* a -3) 1) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ 1 a) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 796 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ 1 a) (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1))) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 729 (pow a 3)) (pow a 3)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (* (+ 1 a) (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ 1 a) (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1))) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 729 (pow a 3)) (pow a 3)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (* (+ 1 a) (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 797 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a -3)) (* a a)) (* (- 1 (* a a)) (* b b))) (- 1 (pow (* (* a a) 9) 3))) (* (* (+ 1 a) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (* (- 1 (* a a)) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (* (* (+ 1 a) (+ (* (* a a) (* a -3)) (* a a))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a -3)) (* a a)) (* (- 1 (* a a)) (* b b))) (- 1 (pow (* (* a a) 9) 3))) (* (* (+ 1 a) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (* (- 1 (* a a)) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (* (* (+ 1 a) (+ (* (* a a) (* a -3)) (* a a))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 798 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (+ 1 (* (* a 3) (* a 3))) (+ (+ 1 a) (* a a))) (* (- 1 (pow (* a a) 3)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* (* a 3) (* a 3))) (+ (+ 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (+ 1 (* (* a 3) (* a 3))) (+ (+ 1 a) (* a a))) (* (- 1 (pow (* a a) 3)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ 1 (* (* a 3) (* a 3))) (+ (+ 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 799 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* a a) 1) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ 1 (* a -3)) (+ 1 a))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))))) (* (+ (* a a) 1) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* a a) 1) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ 1 (* a -3)) (+ 1 a))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))))) (* (+ (* a a) 1) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 800 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* -3 a) 1) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (+ 1 (* (* a 3) (* a 3))) (+ (+ 1 a) (* a a))) (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* (* a 3) (* a 3))) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* -3 a) 1) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (+ 1 (* (* a 3) (* a 3))) (+ (+ 1 a) (* a a))) (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* (* a 3) (* a 3))) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 801 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 (* a -3)) (+ 1 a))) (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* b b) (- 1 (pow a 3))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 (* a -3)) (+ 1 a))) (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* b b) (- 1 (pow a 3))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (* (+ (* a a) 1) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 802 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a -3) 1) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (* a a) (+ a 1)) (* (+ 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a -3) 1) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (* a a) (+ a 1)) (* (+ 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 803 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ 1 (* (* a a) 9)) (* (+ (+ 1 a) (* a a)) (+ (* a a) 1))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (* (- 1 (pow a 3)) (+ (* a a) 1)))) (* (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a)))))) (* (* (+ 1 a) (+ 1 (* a -3))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ 1 (* (* a a) 9)) (* (+ (+ 1 a) (* a a)) (+ (* a a) 1))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (* (- 1 (pow a 3)) (+ (* a a) 1)))) (* (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a)))))) (* (* (+ 1 a) (+ 1 (* a -3))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 804 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* b b) (- 1 (pow a 3))))) (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1)))))) (* (* (* (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ (* -3 a) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* b b) (- 1 (pow a 3))))) (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1)))))) (* (* (* (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 805 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* a -3) 1) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 a) (* a a))) (+ 1 (* (* a a) 9))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* a -3) 1) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 a) (* a a))) (+ 1 (* (* a a) 9))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 806 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ 1 a) (+ (* -3 a) 1))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (+ (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (* (* (+ 1 (* (* a 9) a)) (+ 1 a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (- 1 (pow (* a a) 3))))) (* (* (* (* (* (+ 1 (* (* a 9) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)))) (* (- 1 (* a a)) (- 1 (* (* a 9) a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ 1 a) (+ (* -3 a) 1))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (+ (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))) (* (* (* (+ 1 (* (* a 9) a)) (+ 1 a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (- 1 (pow (* a a) 3))))) (* (* (* (* (* (+ 1 (* (* a 9) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)))) (* (- 1 (* a a)) (- 1 (* (* a 9) a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 807 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (* a a) 1) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (- 1 (* a a)))))) (* (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (- 1 (* (* a a) (* a a))))) (* (* (* (+ 1 (* a -3)) (+ 1 a)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (* a a) 1) (* (+ 1 (* (* a a) 9)) (+ 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (* a a) 1) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (- 1 (* a a)))))) (* (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (- 1 (* (* a a) (* a a))))) (* (* (* (+ 1 (* a -3)) (+ 1 a)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (* a a) 1) (* (+ 1 (* (* a a) 9)) (+ 1 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 808 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* (* a -3) (* a a)) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (* (+ 1 (* (* a a) 9)) (+ 1 a))))) (* (* (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ 1 a))) (* (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* (* a -3) (* a a)) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* (* a -3) (* a a)) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (* (+ 1 (* (* a a) 9)) (+ 1 a))))) (* (* (+ (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a -3) 1) (+ 1 a))) (* (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* (* a -3) (* a a)) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 809 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 810 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* -3 a) 1) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a))))))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* a (* 9 a)))) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* -3 a) 1) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a))))))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* a (* 9 a)))) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 811 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ 1 (* (* a a) 9)) (* (+ (* a a) 1) (+ 1 a))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a))))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (* (- 1 (* a a)) (+ (* a a) 1))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ 1 (* (* a a) 9)) (* (+ (* a a) 1) (+ 1 a))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a))))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (* (- 1 (* a a)) (+ (* a a) 1))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 812 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (* a a)) (- 1 (* (* a a) 9))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (* a a)) (- 1 (* (* a a) 9))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 813 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 (* -3 a)) (+ 1 a))) (* (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* -3 a)) (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (+ 1 (* (* a a) 9)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ 1 a) (* (+ 1 (* (* a a) 9)) (+ (* (* a a) (* -3 a)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 (* -3 a)) (+ 1 a))) (* (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* -3 a)) (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (+ 1 (* (* a a) 9)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ 1 a) (* (+ 1 (* (* a a) 9)) (+ (* (* a a) (* -3 a)) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 814 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* a a) (+ a 1)))))) (* (+ (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (+ a 1)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a))))))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* a a) (+ a 1)))))) (* (+ (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (+ a 1)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a))))))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 815 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* a a) 1) (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ 1 a) (+ (* a -3) 1))))) (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) 1) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (* a a) 1) (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ 1 a) (+ (* a -3) 1))))) (* (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) 1) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 816 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* a a) (+ a 1)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (- 1 (* a 3)) (+ 1 a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (+ (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* a a) (+ a 1)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (- 1 (* a 3)) (+ 1 a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (+ (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (+ (* (* a a) (* -3 a)) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 817 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1)) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a a) (* a 3))) (+ (* (* -3 a) (* a a)) (* a a))))) (* (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (* (+ (* (* -3 a) (* a a)) (* a a)) (* (+ (* a a) 1) (+ (+ 1 a) (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* -3 a) (* a a)) (* a a)) (+ (* a a) 1)) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a a) (* a 3))) (+ (* (* -3 a) (* a a)) (* a a))))) (* (* (* (+ 1 (* -3 a)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (* (+ (* (* -3 a) (* a a)) (* a a)) (* (+ (* a a) 1) (+ (+ 1 a) (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 818 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (* a 3)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))) (* (* b b) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (+ (* a a) (+ a 1))) (- 1 (pow (* a a) 3))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (+ a 1))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (* a 3)) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (* (- 1 (pow a 3)) (- 1 (* a (* a 9)))) (* (* b b) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (+ (* a a) (+ a 1))) (- 1 (pow (* a a) 3))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (+ a 1))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 819 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (- 1 (* a 3)) (+ 1 a))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (+ (* a a) 1) (- 1 (* 9 (* a a)))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (- 1 (* a 3)) (+ 1 a))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (+ (* a a) 1) (- 1 (* 9 (* a a)))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 820 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (+ (* (* (+ (* a a) (+ a 1)) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (+ (* a a) (+ a 1)) (pow a 4))))) (* (* (* (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ 1 a) (+ (* -3 a) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (+ (* (* (+ (* a a) (+ a 1)) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (+ (* a a) (+ a 1)) (pow a 4))))) (* (* (* (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ 1 a) (+ (* -3 a) 1)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 821 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (- (* a a) (* (* a a) (* a 3))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 a) (* a a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (- (* a a) (* (* a a) (* a 3))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 a) (* a a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (- 1 (* a a)) 1) (* (- 1 (* a a)) (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 822 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* a a) 2) (* b b)))) (+ 1 (* -3 a))) (* (+ 1 a) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* a a) 2) (* b b)))) (+ 1 (* -3 a))) (* (+ 1 a) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 823 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* (* a a) (* a a))) (+ 1 a))) (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (* a a) 1) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a a) 9)))))) (* (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* (* a a) (* a a))) (+ 1 a))) (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (* a a) 1) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a a) 9)))))) (* (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 824 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (* a a)) (- 1 (* (* 9 a) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* a -3)))) (+ 1 a)))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* a -3)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a)))))) (* (* (- 1 (* a 3)) (+ 1 a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (* a a)) (- 1 (* (* 9 a) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* a -3)))) (+ 1 a)))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (* (* a a) (* a -3)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a)))))) (* (* (- 1 (* a 3)) (+ 1 a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 825 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (+ (* a a) (* (* a -3) (* a a))) (+ (* a a) 1)) (* (* (* b b) (- 1 (* a a))) (- 1 (* 9 (* a a)))))) (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (* a a) (* (* a -3) (* a a))) (* (+ (* a a) 1) (+ 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (+ (* a a) (* (* a -3) (* a a))) (+ (* a a) 1)) (* (* (* b b) (- 1 (* a a))) (- 1 (* 9 (* a a)))))) (* (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (* a a) (* (* a -3) (* a a))) (* (+ (* a a) 1) (+ 1 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 826 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (+ (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* 9 (* a a))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (+ (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* 9 (* a a))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 827 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 a) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (- 1 (* (* a a) (* a a))) (* (+ 1 a) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))) (+ (* a a) 1)))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* a a) 1) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (- 1 (* (* a a) (* a a))) (* (+ 1 a) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))) (+ (* a a) 1)))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* a a) 1) (+ 1 a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 a) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 828 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 (* a a))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ 1 a)))) (* (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (+ (* (* (+ 1 a) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (* (* a a) (* a a)) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* (* a a) 9)) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 (* a a))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ 1 a)))) (* (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (+ (* (* (+ 1 a) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (* (* a a) (* a a)) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* (* a a) 9)) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 829 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* -3 a))))) (* (+ (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (+ (* a a) (* (* a a) (* -3 a))) (- 1 (* (* 9 a) a))) (* (- 1 (* a a)) (* b b)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* (* 9 a) a)) (- 1 (* a a))) (* (+ 1 a) (+ (* a a) (* (* a a) (* -3 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* -3 a))))) (* (+ (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (* (* (+ (* a a) (* (* a a) (* -3 a))) (- 1 (* (* 9 a) a))) (* (- 1 (* a a)) (* b b)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* (* 9 a) a)) (- 1 (* a a))) (* (+ 1 a) (+ (* a a) (* (* a a) (* -3 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 830 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (+ (* (* (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* b b) (- 1 a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ (* (* a 3) (* a 3)) 1)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ (* (* a 3) (* a 3)) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (+ (* -3 a) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (+ (* (* (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* b b) (- 1 a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ (* (* a 3) (* a 3)) 1)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))) (+ (* (* a 3) (* a 3)) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 831 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ (* a a) 1)) (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (+ (* (* a 3) (* a 3)) 1) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))))) (* (+ (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))) (* (- 1 (* (* a a) (* a a))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (+ (+ (* (* a 3) (* a 3)) 1) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))))) (* (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))))) (* (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ (* a a) 1)) (* (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (+ (* (* a 3) (* a 3)) 1) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))))) (* (+ (* (- 1 (pow (* (* a 3) (* a 3)) 3)) (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))) (* (- 1 (* (* a a) (* a a))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (+ (+ (* (* a 3) (* a 3)) 1) (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))))) (* (* (* (+ (* a -3) 1) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))))) (* (+ (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 832 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (pow (* a (* a 9)) 3))) (* (* b b) (- 1 a))) (* (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3))))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (pow (* a (* a 9)) 3))) (* (* b b) (- 1 a))) (* (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3))))))) (* (* (* (- 1 (* a a)) (- 1 (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* a a) (* (* -3 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 833 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) 1)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (* (* (+ 1 a) (+ (* a -3) 1)) (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) 1)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 834 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3))) (+ (+ (* a (* 9 a)) 1) (* (* a (* 9 a)) (* a (* 9 a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ 1 a) (+ 1 (* a -3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ (* a (* 9 a)) 1) (* (* a (* 9 a)) (* a (* 9 a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (pow (* a a) 3))) (+ (+ (* a (* 9 a)) 1) (* (* a (* 9 a)) (* a (* 9 a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ 1 a) (+ 1 (* a -3))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ (* a (* 9 a)) 1) (* (* a (* 9 a)) (* a (* 9 a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* a (* 9 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 835 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (* a a) 1) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* a -3) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (+ (* a a) 1) (* (* b b) (- 1 a))) (- 1 (pow (* 9 (* a a)) 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (* a a) 1) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* a -3) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (+ (* a a) 1) (* (* b b) (- 1 a))) (- 1 (pow (* 9 (* a a)) 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 836 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (* (- 1 (* 9 (* a a))) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (+ (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (* b b) (- 1 a)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 (* -3 a))) (* (+ 1 a) (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (* (- 1 (* 9 (* a a))) (- 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))) (+ (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (* b b) (- 1 a)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) (* (* (* a 2) a) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 (* -3 a))) (* (+ 1 a) (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 837 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (* (* (* (- 1 a) (* b b)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* 729 (pow a 3)) (pow a 3)))) (* (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (* (* (* (- 1 a) (* b b)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* 729 (pow a 3)) (pow a 3)))) (* (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (* (+ 1 a) (+ 1 (* -3 a))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 838 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* b b) (- 1 a)))) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a 3) (* a 3)))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 (* (* a 3) (* a 3))))) (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3)))) (* (* b b) (- 1 a)))) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a 3) (* a 3)))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (+ 1 a) (+ (* a -3) 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 (* (* a 3) (* a 3))))) (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 839 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (* b b) (- 1 a)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (+ (* a a) 1)) (* (* (+ 1 (* (* a a) 9)) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (* (+ 1 (* (* a a) 9)) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* (* b b) (- 1 a)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (+ (* a a) 1)) (* (* (+ 1 (* (* a a) 9)) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (* a -3)) (+ 1 a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (* (+ 1 (* (* a a) 9)) (+ (* a a) 1)) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 840 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 a) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* b b) (* (+ (* a a) (* (* a a) (* a -3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a 3) (* a 3)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (* a -3) 1)) (* (+ 1 a) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (* (* (+ 1 (* (* a 3) (* a 3))) (+ (* a a) (* (* a a) (* a -3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (- 1 a) (- 1 (* (* (* a 3) (* a 3)) (* (* a 3) (* a 3))))) (* (* b b) (* (+ (* a a) (* (* a a) (* a -3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a 3) (* a 3)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (* a -3) 1)) (* (+ 1 a) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (* (- 1 (* a a)) (- 1 (* (* a 3) (* a 3)))) (* (* (+ 1 (* (* a 3) (* a 3))) (+ (* a a) (* (* a a) (* a -3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 841 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (+ (* a a) (* (* -3 a) (* a a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ 1 (* (* a a) 9)) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (+ 1 (* -3 a)))) (* (* (* (+ (* a a) 1) (* (+ 1 (* (* a a) 9)) (+ (* a a) (* (* -3 a) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (+ (* a a) (* (* -3 a) (* a a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ 1 (* (* a a) 9)) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (+ 1 (* -3 a)))) (* (* (* (+ (* a a) 1) (* (+ 1 (* (* a a) 9)) (+ (* a a) (* (* -3 a) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 842 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 (* 9 (* a a)))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 1 (* 9 (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (* a a)) (- 1 (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 (* 9 (* a a)))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* -3 a) 1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 1 (* 9 (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 843 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ 1 (* (* a a) 9)) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a))))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (+ (* a a) 1) (* (- 1 a) (* b b))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a -3) 1)) (* (+ 1 a) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ 1 (* (* a a) 9)) (+ (* a a) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ 1 (* (* a a) 9)) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a))))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (+ (* a a) 1) (* (- 1 a) (* b b))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a -3) 1)) (* (+ 1 a) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ 1 (* (* a a) 9)) (+ (* a a) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 844 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a -3) 1) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))))) (+ (* (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ 1 (* (* a a) 9)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (* (+ 1 (* (* a a) 9)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (* a a)) (- 1 (* (* a a) 9))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a -3) 1) (+ 1 a)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))))) (+ (* (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ 1 (* (* a a) 9)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (* (+ 1 (* (* a a) 9)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (* a a)) (- 1 (* (* a a) 9))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 845 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* a -3)))) (* (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (+ (* (* a a) (* a -3)) (* a a)) (* (- 1 a) (* b b)))) (* (* (+ 1 (* (* a a) 9)) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ 1 (* (* a a) 9)) (+ (* (* a a) (* a -3)) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ 1 (* a -3)))) (* (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (+ (* (* a a) (* a -3)) (* a a)) (* (- 1 a) (* b b)))) (* (* (+ 1 (* (* a a) 9)) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (+ 1 (* (* a a) 9)) (+ (* (* a a) (* a -3)) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 846 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (+ (* -3 a) 1) (+ 1 a)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (pow (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) 3) (pow (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (* (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (+ (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a)))) (* (- (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a)))) (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (+ (* -3 a) 1) (+ 1 a)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (pow (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) 3) (pow (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (* (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (+ (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a)))) (* (- (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a)))) (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 847 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a)))) (* (- (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* a a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (+ 1 a) (+ (* -3 a) 1)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (- (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a)))) (* (- (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* a a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (+ 1 a) (+ (* -3 a) 1)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (- (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) 1)) * * * * [misc]progress: [ 848 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ 1 a) (+ 1 (* -3 a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))))) (* (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (* (* (- 1 a) (* b b)) (+ (* -9 (* a a)) 1))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ 1 a) (+ 1 (* -3 a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))))) (* (* (* (- 1 (* a a)) (+ (* -9 (* a a)) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))))) 1)) * * * * [misc]progress: [ 849 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (* 1 1) (* (* 3 a) (* 3 a))) (- (* 1 1) (* a a))))) (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 1 (- 1 (* a a))) (* (* -9 (* a a)) (- 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* -3 a) 1) (+ 1 a)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (+ (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* a a))) (* (- 1 (* a (* a 9))) (* (- 1 a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 1 (- 1 (* a a))) (* (* -9 (* a a)) (- 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* -3 a) 1) (+ 1 a)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (+ (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* a a))) (* (- 1 (* a (* a 9))) (* (- 1 a) (* b b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (- 1 (* 3 a)) (+ 1 a)))) (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) 1)) * * * * [misc]progress: [ 850 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))) (* (+ (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (- (pow a 3))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))) (* (+ (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (- (pow a 3))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 851 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)))) (* (+ (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* (pow a 3) 729) (* (* a a) (- a))))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)))) (* (+ (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* (pow a 3) 729) (* (* a a) (- a))))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 852 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* a a) (+ a 1))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* a a) (+ a 1)) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (+ (* 1 (* (- 1 (pow a 3)) (* b b))) (* (* (* 729 (pow a 3)) (- (pow a 3))) (* (- 1 (pow a 3)) (* b b)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* a a) (+ a 1))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* a a) (+ a 1)) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (+ (* 1 (* (- 1 (pow a 3)) (* b b))) (* (* (* 729 (pow a 3)) (- (pow a 3))) (* (- 1 (pow a 3)) (* b b)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ (* a (* a 9)) 1)) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 853 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (+ (* a a) (+ a 1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (- 1 (pow (* (* a a) 9) 3)) (* (- 1 (pow a 3)) (* b b)))) (* (* (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (+ (* a a) (+ a 1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (- 1 (pow (* (* a a) 9) 3)) (* (- 1 (pow a 3)) (* b b)))) (* (* (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 854 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 855 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* (* a a) 9) 3)) (* (+ 1 (* a a)) (* (- 1 (pow a 3)) (* b b)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* (* a a) 9) 3)) (* (+ 1 (* a a)) (* (- 1 (pow a 3)) (* b b)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 856 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow a 3)) (* b b)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (pow a 3) (* 729 (pow a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow a 3)) (* b b)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (pow a 3) (* 729 (pow a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 857 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* (* a a) 9) 3))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))))) (* (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* (* a a) 9) 3))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))))) (* (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 858 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (+ 1 a) (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (+ 1 a) (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 859 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)))) (* (* (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)))) (* (* (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 860 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (+ 1 a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (+ 1 a))) (* (* (- 1 (* a a)) (* b b)) (* (- 1 (pow (* 9 (* a a)) 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (+ 1 a) (* a a))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (+ 1 a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (+ 1 a))) (* (* (- 1 (* a a)) (* b b)) (* (- 1 (pow (* 9 (* a a)) 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (+ 1 a) (* a a))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 861 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 a) (* a a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (* (- 1 (pow a 4)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (- 1 (* a a))) (* (* b b) (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 1 a) (* a a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (* (- 1 (pow a 4)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (- 1 (* a a))) (* (* b b) (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 862 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (+ (* a a) (+ a 1))) (* (+ (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a 3) (* a a)) (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ (* a (* 9 a)) 1))) (* (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (pow (* a (* 9 a)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ (* a (* 9 a)) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (+ (* a a) (+ a 1))) (* (+ (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a 3) (* a a)) (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ (* a (* 9 a)) 1))) (* (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (pow (* a (* 9 a)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ (* a (* 9 a)) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 863 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (+ 1 a) (* a a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* 9 (* a a)) 3))) (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (+ 1 a) (* a a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* 9 (* a a)) 3))) (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 864 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4) (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4) (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 865 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* a 3))) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (* a a))))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (+ 1 a) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 a) (- (* a a) (* (* a a) (* a 3)))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* a 3))) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (* a a))))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (+ 1 a) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 a) (- (* a a) (* (* a a) (* a 3)))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 866 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* a a) (+ a 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* a a) (+ a 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 867 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (* a a) 1) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (pow a 3)) (* b b)))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (* (* (* (+ 1 (* a (* 9 a))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (* a a) 1) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (pow a 3)) (* b b)))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (* (* (* (+ 1 (* a (* 9 a))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 868 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 a) (* a a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (pow a 3)) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 1 a) (* a a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (pow a 3)) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 869 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (- 1 (pow a 4))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) 1)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (- 1 (pow a 3)) (* b b))))) (* (+ (+ 1 a) (* a a)) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (- 1 (pow a 4))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) 1)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (- 1 (pow a 3)) (* b b))))) (* (+ (+ 1 a) (* a a)) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 870 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (* a a) (+ a 1)) (* (+ 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ (* a a) (+ a 1)) (+ 1 (* 9 (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (pow a 3)) (* b b))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (* a a) (+ a 1)) (* (+ 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ (* a a) (+ a 1)) (+ 1 (* 9 (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (pow a 3)) (* b b))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 871 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ (* a a) 1) (+ (+ 1 a) (* a a))) (+ 1 (* a (* 9 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (pow a 3)) (* b b)) (+ (* a a) 1))) (* (+ 1 (* a (* 9 a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ (* a a) 1) (+ (+ 1 a) (* a a))) (+ 1 (* a (* 9 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (pow a 3)) (* b b)) (+ (* a a) 1))) (* (+ 1 (* a (* 9 a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 872 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (- 1 (pow a 3))) (* (* b b) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)) (* (+ (* a a) (+ a 1)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (- 1 (pow a 3))) (* (* b b) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)) (* (+ (* a a) (+ a 1)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 873 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 3)) (* b b))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* a a))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* a a) (+ a 1)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a)))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 3)) (* b b))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* a a))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* a a) (+ a 1)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a)))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 874 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)))) (* (+ (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (* (* (- 1 (* a a)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (+ 1 a) (* a a))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)))) (* (+ (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (* (* (- 1 (* a a)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (+ 1 a) (* a a))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 875 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))) (+ (+ 1 a) (* a a))) (* (+ (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (- 1 (pow a 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (+ 1 (* a a)) (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))) (+ (+ 1 a) (* a a))) (* (+ (* (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (- 1 (pow a 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (+ 1 (* a a)) (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 876 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 877 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))) (* (+ (* a a) (+ a 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ 1 (* a a)) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))))))) (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))) (* (+ (* a a) (+ a 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ 1 (* a a)) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))))))) (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 878 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (+ 1 a) (* a a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ 1 (* 9 (* a a))) (+ 1 a))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (+ 1 a) (* a a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ 1 (* 9 (* a a))) (+ 1 a))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 879 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (* (* (+ 1 a) (+ 1 (* a a))) (+ 1 (* 9 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ 1 a) (* a a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (* (* (+ 1 a) (+ 1 (* a a))) (+ 1 (* 9 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ 1 a) (* a a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 880 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (- 1 (* a a)) (* b b))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (* (+ 1 (* 9 (* a a))) (+ 1 a))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (+ 1 a) (* a a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (- 1 (* a a)) (* b b))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (* (+ 1 (* 9 (* a a))) (+ 1 a))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (+ 1 a) (* a a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 881 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (+ 1 a) (* a a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))))) (* (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* 9 (* a a)))) (+ 1 a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (+ 1 a) (* a a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))))) (* (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* 9 (* a a)))) (+ 1 a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 882 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* a a) (+ a 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (+ 1 (* -9 (* a a))) (* (- 1 (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (+ a 1)))))) (* (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* a a) (+ a 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (+ 1 (* -9 (* a a))) (* (- 1 (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (+ a 1)))))) (* (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 883 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (+ (* (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (+ (* (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 884 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (- (* a a) (* (* a a) (* a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (+ a 1)))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (+ (* a a) (+ a 1)) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (- (* a a) (* (* a a) (* a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (+ a 1)))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (+ (* a a) (+ a 1)) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 885 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (+ 1 a) (* a a))) (* (+ (* (* (+ (* -9 (* a a)) 1) (* (- 1 (pow a 3)) (* b b))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (+ 1 a) (* a a))) (* (+ (* (* (+ (* -9 (* a a)) 1) (* (- 1 (pow a 3)) (* b b))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 886 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* a a) (+ a 1))) (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 1 (* -9 (* a a)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (+ (* a a) (+ a 1)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* a a) (+ a 1))) (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 1 (* -9 (* a a)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (+ (* a a) (+ a 1)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 887 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* a a) (+ a 1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))) (* (* (+ 1 (* a a)) (* (- 1 (pow a 3)) (* b b))) (- 1 (* (* 9 a) a))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* a a) (+ a 1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))) (* (* (+ 1 (* a a)) (* (- 1 (pow a 3)) (* b b))) (- 1 (* (* 9 a) a))))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 888 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (+ 1 a) (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (+ 1 a) (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 889 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (* a a) (+ a 1)))) (* (- (* a a) (* (* a 3) (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* a a) (+ a 1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (* a a) (+ a 1)))) (* (- (* a a) (* (* a 3) (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* a a) (+ a 1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 890 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* a a) (+ a 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* a a) (+ a 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 891 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 892 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 893 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ 1 a))))) (* (+ (+ 1 a) (* a a)) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ 1 a))))) (* (+ (+ 1 a) (* a a)) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 894 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a a) 9)))) (* (- 1 (pow (* a a) 3)) (* (+ (* (* a a) (* a 3)) (* a a)) (+ 1 a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a a) 9)))) (* (- 1 (pow (* a a) 3)) (* (+ (* (* a a) (* a 3)) (* a a)) (+ 1 a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 895 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (* (* (- 1 (* a a)) (* b b)) (* (+ 1 (* -9 (* a a))) (+ 1 (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (+ (+ 1 a) (* (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (* (* (- 1 (* a a)) (* b b)) (* (+ 1 (* -9 (* a a))) (+ 1 (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (+ (+ 1 a) (* (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 896 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* -9 (* a a))) (* (- 1 (* a a)) (* b b)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4)))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (+ (* (pow a 4) (+ 1 a)) (* (* (+ 1 a) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* -9 (* a a))) (* (- 1 (* a a)) (* b b)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4)))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (+ (* (pow a 4) (+ 1 a)) (* (* (+ 1 a) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 897 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (* a a) 9)) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 a))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (* a a) 9)) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 a))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 898 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (- 1 (pow (* (* a a) 9) 3))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (- 1 (pow (* (* a a) 9) 3))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 899 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- 1 (pow a 4)) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- 1 (pow a 4)) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 900 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* a a) (+ a 1)))) (* (+ (* (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* a a) (+ a 1)))) (* (+ (* (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 901 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a (* a 9)) 3))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (pow a 4)))) (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (+ 1 a) (* a a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a (* a 9)) 3))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (pow a 4)))) (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (+ 1 a) (* a a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (+ (* a (* a 9)) 1) (* (* a (* a 9)) (* a (* a 9)))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 902 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* a a) (+ a 1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4) (+ (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (pow (* a a) 3))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))))))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* a a) (+ a 1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4) (+ (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (pow (* a a) 3))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))))))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 903 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (+ 1 a) (* a a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* b b) (- 1 a)) (+ 1 (* a a)))))))) (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (+ 1 a) (* a a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* b b) (- 1 a)) (+ 1 (* a a)))))))) (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 904 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))) (+ (+ 1 a) (* a a))) (* (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (* 9 (* a a)) 3)) (- 1 a)) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))) (+ (+ 1 a) (* a a))) (* (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (* 9 (* a a)) 3)) (- 1 a)) (* (* b b) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 905 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (* (+ (+ 1 a) (* a a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4))) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (* (+ (+ 1 a) (* a a)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4))) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 906 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (+ 1 a) (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* a (* 9 a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (+ 1 a) (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* a (* 9 a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 907 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ 1 (* a a))) (* (* (* b b) (- 1 a)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (* (- 1 (pow a 4)) (+ 1 (* a (* 9 a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (+ 1 a) (* a a))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ 1 (* a a))) (* (* (* b b) (- 1 a)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (* (- 1 (pow a 4)) (+ 1 (* a (* 9 a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (+ 1 a) (* a a))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 908 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (- 1 a))) (* (* (+ 1 (* 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (+ 1 a) (* a a))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ 1 (* 9 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (- 1 a))) (* (* (+ 1 (* 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (+ 1 a) (* a a))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ 1 (* 9 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 909 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 910 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ 1 (* (* a a) 9)) (- 1 (pow (* a a) 3))) (+ (* (* a 3) (* a a)) (* a a))) (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ 1 (* (* a a) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ 1 (* (* a a) 9)) (- 1 (pow (* a a) 3))) (+ (* (* a 3) (* a a)) (* a a))) (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ 1 (* (* a a) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 911 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 (* a a)) (* (- 1 a) (* b b)))) (* (+ 1 (* a (* 9 a))) (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* a a) 2) (* b b)))))) (+ (+ 1 a) (* a a))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 (* a a)) (* (- 1 a) (* b b)))) (* (+ 1 (* a (* 9 a))) (* (- 1 (pow a 4)) (+ (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* a a) 2) (* b b)))))) (+ (+ 1 a) (* a a))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 912 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (* (+ (* a a) (+ a 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* b b) (- 1 a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ 1 (* a (* 9 a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ 1 (* a (* 9 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (* (+ (* a a) (+ a 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* b b) (- 1 a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ 1 (* a (* 9 a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ 1 (* a (* 9 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 913 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (* (+ (* (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 a) (* b b))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 (* a (* 9 a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (* (+ (* (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 a) (* b b))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 (* a (* 9 a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (+ 1 a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 914 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 a))) 3) (pow (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) 3)) (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (+ (* (- (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 a)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a)))) (* (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 a))) (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (pow (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 a))) 3) (pow (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) 3)) (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (+ (* (- (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 a)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a)))) (* (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 a))) (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 915 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (+ 1 a) (* a a))) (* (* (- (* (- 1 (* a (* 9 a))) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a))))) (+ (* (- 1 (* a (* 9 a))) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (- (* (- 1 (* a (* 9 a))) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (+ 1 a) (* a a))) (* (* (- (* (- 1 (* a (* 9 a))) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a))))) (+ (* (- 1 (* a (* 9 a))) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (- (* (- 1 (* a (* 9 a))) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 916 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (- (pow a 3))))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (- (pow a 3))))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 917 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (* (* a a) (- a))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a)))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* a a) (+ a 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4)))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (* (* a a) (- a))))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a)))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* a a) (+ a 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4)))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 918 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* a a) (+ a 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (- (pow a 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (* a a) (+ a 1)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* a a) (+ a 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* 729 (pow a 3)) (- (pow a 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (* a a) (+ a 1)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 919 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (+ a 1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (+ a 1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 920 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (* a a) (* a 3)))))) (* (- 1 (* 729 (pow (* a a) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (pow a 3)) (* b b))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4))) (* (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (* a a) (* a 3)))))) (* (- 1 (* 729 (pow (* a a) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (pow a 3)) (* b b))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4))) (* (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 921 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (+ 1 a) (* a a))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (+ 1 (* a a)) (* (- 1 (pow a 3)) (* b b))) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (+ 1 a) (* a a))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (+ 1 (* a a)) (* (- 1 (pow a 3)) (* b b))) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 922 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (pow (* a (* 9 a)) 3)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4)) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (pow (* a (* 9 a)) 3)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4)) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 923 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 3)) (* b b)))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))))) (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 a) (* a a))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 3)) (* b b)))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))))) (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 a) (* a a))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 924 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow (* a a) 3))) (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (+ 1 a))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* 9 (* a a)) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow (* a a) 3))) (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (+ 1 a))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* 9 (* a a)) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 925 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 926 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (+ 1 a) (* a a))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (+ 1 a) (* a a))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 927 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (+ (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (+ 1 a) (* a a)) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (+ (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (+ 1 a) (* a a)) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 928 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a))))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ 1 a) (+ (* a a) (* (* a a) (* a 3))))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (+ 1 a) (* a a)) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a))))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ 1 a) (+ (* a a) (* (* a a) (* a 3))))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (+ 1 a) (* a a)) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 929 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* a (* a 9)) 3))) (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ 1 a) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* a (* a 9)) 3))) (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a a) (* a 3)))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ 1 a) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 930 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (- 1 (pow (* a (* a 9)) 3))) (* (- 1 (* a a)) (* b b))) (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (- 1 (pow (* a (* a 9)) 3))) (* (- 1 (* a a)) (* b b))) (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 931 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a)) (* (- 1 (* a a)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))))) (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3))))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (+ 1 a)) (* (- 1 (* a a)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))))) (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3))))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 932 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* a a) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (+ (* (+ 1 (* 9 (* a a))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* a a) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (+ (* (+ 1 (* 9 (* a a))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 933 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* (- 1 (pow a 4)) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (+ (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* (- 1 (pow a 4)) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 934 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a a) (* a 3))))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 935 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (+ 1 (* (* a 9) a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) 4)) (* (+ (+ 1 a) (* a a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (+ 1 (* (* a 9) a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) 4)) (* (+ (+ 1 a) (* a a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 936 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (- 1 (pow a 3)) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (- 1 (pow a 3)) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 937 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (+ 1 (* (* a 9) a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))) (+ 1 (* (* a 9) a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* a a))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (+ 1 (* (* a 9) a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))) (+ 1 (* (* a 9) a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 938 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* a a) (+ a 1)) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* a a) (+ a 1)) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 939 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))))) (* (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (* a a) (+ a 1)) (* (+ 1 (* (* a 9) a)) (- (* a a) (* (* a 3) (* a a))))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1))))) (* (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (* a a) (+ a 1)) (* (+ 1 (* (* a 9) a)) (- (* a a) (* (* a 3) (* a a))))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 940 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (- 1 (pow a 3)) (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9))))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (- 1 (pow a 3)) (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9))))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 941 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (* (+ 1 (* 9 (* a a))) (+ 1 a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- 1 (pow a 4)) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (* (+ 1 (* 9 (* a a))) (+ 1 a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- 1 (pow a 4)) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 942 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* a a) (+ a 1))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (* (+ 1 (* (* a a) 9)) (+ 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ 1 (* (* a a) 9)) (+ 1 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* a a) (+ a 1))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (* (+ 1 (* (* a a) 9)) (+ 1 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 943 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (- 1 (* a a))) (* (* b b) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (- 1 (* a a))) (* (* b b) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 944 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 (* (* a 9) a)) (+ 1 a)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (+ a 1))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 (* (* a 9) a)) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 (* (* a 9) a)) (+ 1 a)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (+ a 1))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 (* (* a 9) a)) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 945 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ 1 (* 9 (* a a))) (* (+ 1 (* a a)) (+ 1 a)))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (* (* b b) (* (- 1 (* a a)) (+ 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ 1 (* 9 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ 1 (* 9 (* a a))) (* (+ 1 (* a a)) (+ 1 a)))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (* (* b b) (* (- 1 (* a a)) (+ 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ 1 (* 9 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 946 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4)) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4)) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 947 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 a) (* a a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* 9 (* a a)))) (+ 1 a)) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 1 a) (* a a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* 9 (* a a)))) (+ 1 a)) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 948 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (+ 1 a) (* a a))))) (* (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a)))) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (+ 1 a) (* a a))))) (* (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a)))) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 949 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (* (+ 1 (* -9 (* a a))) (* (- 1 (pow a 3)) (* b b))))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (* (+ 1 (* -9 (* a a))) (* (- 1 (pow a 3)) (* b b))))) (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 950 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 951 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* a 3))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ (* a a) (+ a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* a 3))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 952 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (pow a 3)) (* b b)) (* (+ (* -9 (* a a)) 1) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (- 1 (pow a 3)) (* b b)) (* (+ (* -9 (* a a)) 1) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 953 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (+ (* (* a a) (* a 3)) (* a a)) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))) (* (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))) (* (* b b) (+ 1 (* a a)))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (+ (* (* a a) (* a 3)) (* a a)) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))) (* (* (- 1 (pow a 3)) (- 1 (* 9 (* a a)))) (* (* b b) (+ 1 (* a a)))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 954 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) 4)) (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) 4)) (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 955 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* a a) (* (* a a) (* a 3))) (* (+ 1 (* -9 (* a a))) (* (- 1 (pow a 3)) (* b b)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (+ a 1)))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* a a) (* (* a a) (* a 3))) (* (+ 1 (* -9 (* a a))) (* (- 1 (pow a 3)) (* b b)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (+ a 1)))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 956 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* a a) (+ a 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 a) a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* a a) (+ a 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 957 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ 1 a)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a)))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4))) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ 1 a))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a))))) (+ 1 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ 1 a)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a)))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4))) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ 1 a))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a))))) (+ 1 (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 958 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (+ 1 a) (* a a))))) (* (* (+ 1 a) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (+ 1 a) (* a a))))) (* (* (+ 1 a) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 959 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* a a) (+ a 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (+ (* (* (+ 1 (* -9 (* a a))) (* (- 1 (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (+ 1 a))))) (* (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* a a) (+ a 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (+ (* (* (+ 1 (* -9 (* a a))) (* (- 1 (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (+ 1 a))))) (* (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 960 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ (* a a) 1)))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (+ a 1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (* b b) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a 3) (* a a)) (* a a)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ (* a a) 1)))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (+ a 1))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (- 1 (* a a)) (- 1 (* (* a a) 9))) (* (* b b) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a 3) (* a a)) (* a a)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 961 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (+ 1 (* a a)) (+ 1 (* -9 (* a a)))) (* (- 1 (* a a)) (* b b))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 4)) (+ 1 a))))))) (* (* (* (* (+ 1 a) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (* (+ 1 (* a a)) (+ 1 (* -9 (* a a)))) (* (- 1 (* a a)) (* b b))) (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 4)) (+ 1 a))))))) (* (* (* (* (+ 1 a) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 962 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (- 1 (* a a)) (* b b)) (+ (* -9 (* a a)) 1))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* a a) (+ a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (- 1 (* a a)) (* b b)) (+ (* -9 (* a a)) 1))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* a a) (+ a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 963 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a))))) (* (+ (* (* (+ (* -9 (* a a)) 1) (- 1 (* a a))) (* (* b b) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ 1 a) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a))))) (* (+ (* (* (+ (* -9 (* a a)) 1) (- 1 (* a a))) (* (* b b) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ 1 a) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 964 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* 729 (* (pow a 3) (pow a 3)))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* 729 (* (pow a 3) (pow a 3)))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 965 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 966 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (* (pow a 3) (pow a 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (* (pow a 3) (pow a 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 967 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (pow a 4)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (pow a 4)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 968 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 969 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* a a) (+ a 1)) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- 1 (pow (* a (* a 9)) 3))) (* (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 (* a a))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* a a) (+ a 1)) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- 1 (pow (* a (* a 9)) 3))) (* (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 (* a a))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 970 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* b b) (- 1 a)) (* (- 1 (pow (* a (* a 9)) 3)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (+ 1 a) (* a a)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* b b) (- 1 a)) (* (- 1 (pow (* a (* a 9)) 3)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (+ 1 a) (* a a)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 971 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a (* 9 a)) 3))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- (* a a) (* (* a a) (* a 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a (* 9 a)) 3))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (- (* a a) (* (* a a) (* a 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 972 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (* (* (* (- 1 a) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (* (* (* (- 1 a) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 973 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* a a) 1) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (* b b) (- 1 a)) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))) 4)) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (* a a) 1) (+ 1 (* 9 (* a a))))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ (* a a) 1) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (* b b) (- 1 a)) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))) 4)) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (* a a) 1) (+ 1 (* 9 (* a a))))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 974 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 (* 9 (* a a))))) (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (- 1 a)) (* (* b b) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (* (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 (* 9 (* a a))))) (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (- 1 a)) (* (* b b) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (* (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 975 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 a) (* a a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ 1 (* 9 (* a a)))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* a a) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 1 a) (* a a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* (* (* (* b b) (- 1 a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ 1 (* 9 (* a a)))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* a a) 1)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 976 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ 1 (* (* a 9) a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))))))) (* (* (* (* (+ 1 (* (* a 9) a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* a a) (+ a 1)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ 1 (* (* a 9) a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))))))) (* (* (* (* (+ 1 (* (* a 9) a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 977 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))) 4) (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 a)) (+ (* a a) 1))) (* (+ 1 (* 9 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow a 4)))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (+ (* a a) (+ a 1))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ 1 (* 9 (* a a))) (+ (* a a) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2)))) 4) (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 a)) (+ (* a a) 1))) (* (+ 1 (* 9 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow a 4)))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (+ (* a a) (+ a 1))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ 1 (* 9 (* a a))) (+ (* a a) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 978 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* 9 (* a a))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (- 1 a)) (* (* b b) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 (* 9 (* a a))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (- 1 a)) (* (* b b) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 979 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4))) (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4))) (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 980 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))))) (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* a a) (+ a 1))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (pow (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) 3) (pow (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))))) (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* a a) (+ a 1))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (pow (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) 3) (pow (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 981 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b)))))))) (* (+ (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (- (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b)))))))) (* (+ (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3))))) (- (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 a))) (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 982 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (pow (* 9 (* a a)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (* (+ (+ 1 a) (* a a)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))) (* (+ (+ 1 a) (* a a)) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (+ 1 a) (* a a)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (pow (* 9 (* a a)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (* (+ (+ 1 a) (* a a)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))) (* (+ (+ 1 a) (* a a)) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (+ 1 a) (* a a)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 983 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* a a) (+ a 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* a a) (+ a 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 984 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* 1 (* (- 1 (pow a 3)) (* b b))) (* (* (* 729 (pow a 3)) (- (pow a 3))) (* (- 1 (pow a 3)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* 1 (* (- 1 (pow a 3)) (* b b))) (* (* (* 729 (pow a 3)) (- (pow a 3))) (* (- 1 (pow a 3)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 985 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* (pow a 3) 729) (* (- a) (* a a))))) (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3))))) (* (* (- 1 (pow a 4)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* (pow a 3) 729) (* (- a) (* a a))))) (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3))))) (* (* (- 1 (pow a 4)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 986 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (* a a) (+ a 1)) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (* a a) (+ a 1)) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 987 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a))))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (+ (* a a) (+ a 1))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (+ (* a a) (+ a 1)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a))))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (+ (* a a) (+ a 1))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (+ (* a a) (+ a 1)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 988 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* (- 1 (pow a 3)) (* b b)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (* (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (+ (+ 1 a) (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* (- 1 (pow a 3)) (* b b)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (* (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (+ (+ 1 a) (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 989 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 a) (* a a))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))) (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (+ (* a a) (* (* a a) (* a 3))) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 a) (* a a))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))) (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (+ (* a a) (* (* a a) (* a 3))) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 990 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* 9 (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))))))) (* (* (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* 9 (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))))))) (* (* (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 991 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1)) (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (- 1 (pow a 4)) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))))))) (* (* (+ (* a a) (+ a 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* a a) 1)) (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (- 1 (pow a 4)) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))))))) (* (* (+ (* a a) (+ a 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 992 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (* (+ 1 a) (- (* a a) (* (* a a) (* a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (+ 1 a) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (* (+ 1 a) (- (* a a) (* (* a a) (* a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (* (+ 1 a) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 993 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* 2 (* a a)) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) 1)) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* b b) (- 1 (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ 1 a) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (+ 1 a) (* a a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* 2 (* a a)) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) 1)) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* b b) (- 1 (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ 1 a) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 994 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (+ a 1)) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* 9 (* a a)) 3)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ 1 a) (+ (* (* a a) (* a a)) (+ (* a a) 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* a a) (+ a 1)) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* 9 (* a a)) 3)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ 1 a) (+ (* (* a a) (* a a)) (+ (* a a) 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 995 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* a a) (+ a 1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1)) (- 1 (pow (* (* a a) 9) 3))) (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))))) (* (* (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* a a) (+ a 1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* a a) 1)) (- 1 (pow (* (* a a) 9) 3))) (* (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))))) (* (* (* (* (+ 1 a) (+ (* a a) 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 996 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (+ 1 a) (* a a)) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* (* b b) (- 1 (* a a))) (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (+ 1 a) (* a a)) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 997 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (+ (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (* (+ 1 a) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (+ (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (* (+ 1 a) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 998 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 999 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (+ (* a a) 1) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (* a a) (+ a 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (+ (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (* a a) 1)) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (pow a 3)) (* b b)))) (* (- 1 (pow a 4)) (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (+ (* a a) 1) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (* a a) (+ a 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (+ (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (* a a) 1)) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (pow a 3)) (* b b)))) (* (- 1 (pow a 4)) (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1000 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1001 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (- 1 (pow a 4)) (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (+ (* a a) 1) (- (* a a) (* (* a 3) (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (- 1 (pow a 4)) (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (+ (* a a) 1) (- (* a a) (* (* a 3) (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1002 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ 1 (* a (* 9 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ 1 (* a (* 9 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1003 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (* (- 1 (pow a 3)) (+ (* a a) 1)))) (* (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (* (+ (* a a) (+ a 1)) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b))))) (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (* (- 1 (pow a 3)) (+ (* a a) 1)))) (* (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (* (+ (* a a) (+ a 1)) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1004 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a)))))) (* (+ (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ 1 (* a (* 9 a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a)))))) (* (+ (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ 1 (* a (* 9 a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1005 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a (* 9 a))) (* (+ (* a a) (+ a 1)) (- (* a a) (* (* a 3) (* a a))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 3)) (* b b))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a (* 9 a))) (* (+ (* a a) (+ a 1)) (- (* a a) (* (* a 3) (* a a))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 3)) (* b b))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1006 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (+ (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (+ (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1007 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (- 1 (pow a 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ 1 (* a a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (- 1 (pow a 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ 1 (* a a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1008 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (+ 1 (* 9 (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (+ 1 (* 9 (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1009 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (+ (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))))) (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))) (- 1 (pow a 4))))) (* (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (+ (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))))) (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))) (- 1 (pow a 4))))) (* (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1010 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ (+ 1 a) (* a a))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* a (* 9 a)))) (+ 1 a)) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ (+ 1 a) (* a a))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* a (* 9 a)))) (+ 1 a)) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1011 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (* (* b (- 1 (* a a))) (* b (+ 1 (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow a 4)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a (* 9 a))) (* (+ 1 a) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (* (* b (- 1 (* a a))) (* b (+ 1 (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow a 4)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a (* 9 a))) (* (+ 1 a) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1012 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (* (* (+ (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (- 1 (* a a)) (* b b))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (* (* (+ (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (- 1 (* a a)) (* b b))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1013 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (* a a))))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (* a a))))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1014 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* -9 (* a a)) 1) (* (- 1 (pow a 3)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* -9 (* a a)) 1) (* (- 1 (pow a 3)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (+ 1 a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1015 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ 1 (* a a)) (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1016 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 1 a) (* a a)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* a a) 9)))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* a a) (* (* a a) (* a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 1 a) (* a a)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* a a) 9)))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* a a) (* (* a a) (* a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1017 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 a) (* a a)) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* -9 (* a a))) (* (- 1 (pow a 3)) (* b b)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 1 a) (* a a)) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* -9 (* a a))) (* (- 1 (pow a 3)) (* b b)))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1018 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (- 1 (pow a 3)) (* b b)) (* (+ (* -9 (* a a)) 1) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (+ 1 a) (* a a)) (+ (* (* a 3) (* a a)) (* a a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (+ (+ 1 a) (* a a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 a) (* a a))))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (- 1 (pow a 3)) (* b b)) (* (+ (* -9 (* a a)) 1) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (+ 1 a) (* a a)) (+ (* (* a 3) (* a a)) (* a a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (+ (+ 1 a) (* a a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 a) (* a a))))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1019 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))) (* (* (+ 1 (* a a)) (- 1 (* (* 9 a) a))) (* (- 1 (pow a 3)) (* b b)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* a a) (+ a 1)) (+ 1 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (+ (* a a) (* (* a a) (* a 3))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))) (* (* (+ 1 (* a a)) (- 1 (* (* 9 a) a))) (* (- 1 (pow a 3)) (* b b)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (* a a) (+ a 1)) (+ 1 (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1020 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (* (+ (+ 1 a) (* a a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (* (+ (+ 1 a) (* a a)) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (+ (+ 1 a) (* a a)) (pow a 4))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (* (+ (+ 1 a) (* a a)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (* (+ (+ 1 a) (* a a)) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (+ (+ 1 a) (* a a)) (pow a 4))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1021 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (* (- (* a a) (* (* a a) (* a 3))) (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (* (- (* a a) (* (* a a) (* a 3))) (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1022 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ (* a a) (+ a 1))) (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ (* a a) (+ a 1))) (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1023 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ 1 (* a a)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (* b b) (- 1 (* a a))) (- 1 (* 9 (* a a)))))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (+ 1 a) (* a a)))) (* (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ 1 (* a a)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (* b b) (- 1 (* a a))) (- 1 (* 9 (* a a)))))) (* (* (+ 1 a) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ (+ 1 a) (* a a)))) (* (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1024 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (- (* a a) (* (* a 3) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))))) (* (+ (* a a) (+ a 1)) (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (- (* a a) (* (* a 3) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ 1 a))))) (* (+ (* a a) (+ a 1)) (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1025 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a a) 9)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (pow a 4)) (+ 1 a))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (+ (+ 1 a) (* a a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* a a) 9)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (pow a 4)) (+ 1 a))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (+ (+ 1 a) (* a a)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1026 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 1 (* (* a a) 9))) (* (* b b) (- 1 (* a a)))) (* (+ 1 a) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* a a) (+ a 1)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 1 (* (* a a) 9))) (* (* b b) (- 1 (* a a)))) (* (+ 1 a) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1027 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (* (+ 1 a) (* a a)) (+ 1 a)))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (+ (* a a) (+ a 1))) (* (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4))) (+ (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (* (* (+ 1 (* a a)) (* (- 1 (* a a)) (* b b))) (+ 1 (* -9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (* (+ 1 a) (* a a)) (+ 1 a)))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))) (+ (* a a) (+ a 1))) (* (+ (* (* (* (* a 2) a) (* b b)) (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))) 4))) (+ (* (* (+ 1 a) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (* (* (+ 1 (* a a)) (* (- 1 (* a a)) (* b b))) (+ 1 (* -9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 a) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1028 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (+ 1 a) (* a a)) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))) (+ (* (* (- 1 (* 9 (* a a))) (* (- 1 (* a a)) (* b b))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (* (* (+ 1 a) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (pow a 4) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (+ (+ 1 a) (* a a)) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))) (+ (* (* (- 1 (* 9 (* a a))) (* (- 1 (* a a)) (* b b))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (* (* (+ 1 a) (* (* a a) (* a 3))) (- (* (* a a) (* a 3)) (* a a))) (* (pow a 4) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1029 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* a a) 9))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (* a a)))) (- 1 (* (* a a) 9))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ 1 a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1030 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (- 1 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (- 1 (pow (* a a) 3)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ (* (* (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (- 1 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (- 1 (pow (* a a) 3)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1031 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (+ 1 a) (* a a)) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (+ 1 a) (* a a)) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1032 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))))) (* (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (* 729 (pow (* a a) 3))))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (- 1 (pow (* a a) 3))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))))) (* (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (* 729 (pow (* a a) 3))))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (- 1 (pow (* a a) 3))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ (* a a) (+ a 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1033 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (- 1 (pow a 4))))) (* (* (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* a a) (+ a 1))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4))) (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (- 1 (pow a 4))))) (* (* (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1034 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1035 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (* (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4) (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (+ 1 (* a a)) (* (* b b) (- 1 a)))))))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (+ 1 (* a a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (* (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4) (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (- 1 (pow a 4)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (+ 1 (* a a)) (* (* b b) (- 1 a)))))))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (+ 1 (* a a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1036 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (+ a 1)) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* b b) (- 1 a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* a a) (+ a 1)) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* b b) (- 1 a))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1037 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (+ 1 a) (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (- 1 (pow (* (* 9 a) a) 3)) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (+ 1 a) (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (- 1 (pow (* (* 9 a) a) 3)) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a a)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1038 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ 1 (* 9 (* a a))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (* (* b b) (- 1 a)) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (pow (* a a) 3)) (+ 1 (* 9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ 1 (* 9 (* a a))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (* (* b b) (- 1 a)) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (pow (* a a) 3)) (+ 1 (* 9 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1039 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ 1 (* a (* 9 a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (+ 1 a) (* a a)) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (pow a 4)) (+ 1 (* a (* 9 a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (+ 1 a) (* a a)) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1040 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (+ a 1))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* a (* 9 a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (+ a 1))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* a (* 9 a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1041 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* a a)) (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a 3) (* a a))))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (pow a 4))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ (+ 1 a) (* a a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* a a)) (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a 3) (* a a))))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (pow a 4))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ (+ 1 a) (* a a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1042 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* a a) 2) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 a)))))))) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* a a) 2) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 a)))))))) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1043 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* a a)) (+ 1 (* a (* 9 a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* 2 (* a a)) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 (* a a)) (* (- 1 a) (* b b)))) (* (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a))) (+ 1 (* a (* 9 a))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* a a)) (+ 1 (* a (* 9 a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* 2 (* a a)) (* b b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 (* a a)) (* (- 1 a) (* b b)))) (* (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a))) (+ 1 (* a (* 9 a))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1044 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))) (+ (+ 1 a) (* a a))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))) (+ (+ 1 a) (* a a))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1045 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (* (- 1 (pow a 3)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1046 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (* (* (* b b) (- 1 a)) (+ 1 (* -9 (* a a)))) 3) (pow (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) 3)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (+ (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 a)) (+ 1 (* -9 (* a a)))))) (* (* (* (* b b) (- 1 a)) (+ 1 (* -9 (* a a)))) (* (* (* b b) (- 1 a)) (+ 1 (* -9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (pow (* (* (* b b) (- 1 a)) (+ 1 (* -9 (* a a)))) 3) (pow (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) 3)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1)))) (+ (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 a)) (+ 1 (* -9 (* a a)))))) (* (* (* (* b b) (- 1 a)) (+ 1 (* -9 (* a a)))) (* (* (* b b) (- 1 a)) (+ 1 (* -9 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1047 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a)))) (+ (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a)))) (+ (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (* (+ (* a a) (+ a 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1048 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ (* a a) (+ a 1))) (* 4 (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (+ (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ (* a a) (+ a 1))) (* 4 (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (+ (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))))) 1)) * * * * [misc]progress: [ 1049 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (pow 1 3) (pow a 3))))) (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (* (+ (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4)) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (+ (+ 1 a) (* a a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (pow a 3)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (* (* (+ (* (+ 1 (* -9 (* a a))) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4)) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (+ (+ 1 a) (* a a)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) 1)) * * * * [misc]progress: [ 1050 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (pow (* (* a a) 9) 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (pow (* (* a a) 9) 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1051 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (pow (* (* a a) 9) 3))) (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (- 1 (pow a 4)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4)))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (pow (* (* a a) 9) 3))) (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (- 1 (pow a 4)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4)))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1052 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ 1 a)) (* (+ (* (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* (pow a 3) 729) (- (pow a 3))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ 1 a)) (* (+ (* (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* (pow a 3) 729) (- (pow a 3))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1053 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (- 1 (pow a 4)) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* (pow a 3) 729) (* (* a a) (- a))) (* (* b b) (- 1 (pow a 3)))))))) (* (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (- 1 (pow a 4)) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* (pow a 3) 729) (* (* a a) (- a))) (* (* b b) (- 1 (pow a 3)))))))) (* (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1054 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (pow (* 9 (* a a)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (pow (* 9 (* a a)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1055 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* b (- 1 (pow a 3))) (* b (+ 1 (* a a)))) (- 1 (pow (* (* a a) 9) 3))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* b (- 1 (pow a 3))) (* b (+ 1 (* a a)))) (- 1 (pow (* (* a a) 9) 3))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1056 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (+ 1 a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4) (+ (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (pow (* (* a a) 9) 3)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (+ 1 a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4) (+ (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (pow (* (* a a) 9) 3)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (+ 1 a) (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1057 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* (* a a) 9) 3))) (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* 2 (* a a)) (* b b))))))) (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* 2 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* (* a a) 9) 3))) (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* 2 (* a a)) (* b b))))))) (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* 2 (* a a)) (* b b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1058 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))))) (* (* (* (* (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))))) (* (* (* (* (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1059 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))) (+ (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))) (* (* (+ 1 a) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (* (+ 1 a) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))) (+ (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))) (* (* (+ 1 a) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (* (* (+ 1 a) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1060 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ 1 a) (- (* a a) (* (* a 3) (* a a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a)))))) (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* a a) 3))) (* (+ 1 a) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)))) (+ 1 a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ 1 a) (- (* a a) (* (* a 3) (* a a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a)))))) (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* a a) 3))) (* (+ 1 a) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)))) (+ 1 a)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1061 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))) (* (* (* (- 1 (* a a)) (* b b)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (- 1 (pow (* (* a a) 9) 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))) (* (* (* (- 1 (* a a)) (* b b)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (- 1 (pow (* (* a a) 9) 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1062 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (* (- 1 (* a a)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (* (- 1 (* a a)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1063 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (* (- 1 (* a a)) (+ 1 (* a a))))) (* (- 1 (* (* a a) (* a a))) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (+ 1 a) (+ (* (* a 3) (* a a)) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (+ 1 a) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (* (- 1 (* a a)) (+ 1 (* a a))))) (* (- 1 (* (* a a) (* a a))) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (+ 1 a) (+ (* (* a 3) (* a a)) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (+ 1 a) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1064 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* a a) 9) 3))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* a a) 9) 3))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1065 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1066 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ 1 a)) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (+ 1 (* (* a a) 9))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ 1 a)) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (+ 1 (* (* a a) 9))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1067 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (- 1 (pow a 4))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ 1 (* a a)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (- 1 (pow a 4))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ 1 (* a a)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1068 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (+ 1 a))) (* (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (+ 1 a))) (* (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1069 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ 1 a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))))) (* (+ 1 (* (* a a) 9)) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ 1 a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))))) (* (+ 1 (* (* a a) 9)) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* (* a a) 9)) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1070 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ 1 (* 9 (* a a))) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ 1 (* 9 (* a a))) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1071 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ 1 (* (* a a) 9))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (+ 1 a))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ 1 (* (* a a) 9)))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ 1 (* (* a a) 9))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (+ 1 a))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ 1 (* (* a a) 9)))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1072 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (* (+ (* (* (- 1 (pow a 3)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* b b) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- 1 (* a a)) (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ 1 a)) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (* (+ (* (* (- 1 (pow a 3)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (* b b) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- 1 (* a a)) (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (+ 1 a)) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1073 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))) (+ (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))) (* (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 a) (* a a))) (+ 1 (* (* a a) 9))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))) (+ (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))) (* (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 a) (* a a))) (+ 1 (* (* a a) 9))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1074 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (* (* (- 1 (* a a)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (+ 1 (* 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (* (* (- 1 (* a a)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (+ 1 (* 9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1075 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (+ 1 (* (* a a) 9)) (+ 1 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (- 1 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9))))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (+ 1 (* (* a a) 9)) (+ 1 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (- 1 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9))))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1076 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (+ 1 a)) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (* (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (+ 1 a)) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (* (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1077 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* (* a a) (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (- 1 (* a a)) (* b b)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* (* a a) (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (- 1 (* a a)) (* b b)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1078 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (* (* (* (- 1 (* a a)) (* b b)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (* (* (* (- 1 (* a a)) (* b b)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1079 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ 1 a)) (* (* (* (+ 1 (* (* a a) 9)) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (* (- 1 (* a a)) (* (* b b) (+ 1 (* a a)))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ 1 a)) (* (* (* (+ 1 (* (* a a) 9)) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1080 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* 2 (* a a)) (* b b)))) (+ 1 a)) (* (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) 4))) (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (- 1 (* a a))))) (* (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (- 1 (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))))) (* (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* 2 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* 2 (* a a)) (* b b)))) (+ 1 a)) (* (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) 4))) (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (- 1 (* a a))))) (* (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (- 1 (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))))) (* (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* 2 (* a a)) (* b b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1081 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (+ 1 a) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (- 1 (* a a))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (* a a)) (* b b))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (+ 1 a) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (* (+ 1 (* (* a a) 9)) (+ 1 a)) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (- 1 (* a a))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (* a a)) (* b b))) (- 1 (* (* (* a a) 9) (* (* a a) 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1082 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (+ a 1)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (+ a 1)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1083 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1084 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (pow a 3))))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (+ 1 a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (pow a 3))))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (+ 1 a))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1085 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))))) (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))))) (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1086 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4))) (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 9 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (* (* a a) (* a 3)) (* a a))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4))) (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 9 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (* (* a a) (* a 3)) (* a a))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1087 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (+ (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))) (* (* (+ (* -9 (* a a)) 1) (- 1 (pow a 3))) (* (* b b) (+ 1 (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)) (* (+ 1 a) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (+ (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))) (* (* (+ (* -9 (* a a)) 1) (- 1 (pow a 3))) (* (* b b) (+ 1 (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)) (* (+ 1 a) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1088 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* a a) (+ a 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ 1 a) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 (* -9 (* a a))) (* (- 1 (pow a 3)) (* b b))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* a a) (+ a 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ 1 a) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 (* -9 (* a a))) (* (- 1 (pow a 3)) (* b b))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1089 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ 1 a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 (pow a 3)) (* b b))) (- (* a a) (* (* a 3) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ 1 a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 (pow a 3)) (* b b))) (- (* a a) (* (* a 3) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1090 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1091 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* a a)) (+ 1 a)))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (+ (* (* (* (+ (* -9 (* a a)) 1) (* (- 1 (* a a)) (* b b))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (- 1 (* (* a a) (* a a))) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* a a)) (+ 1 a)))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (+ (* (* (* (+ (* -9 (* a a)) 1) (* (- 1 (* a a)) (* b b))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (- 1 (* (* a a) (* a a))) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1092 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* 9 (* a a)))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* 9 (* a a)))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1093 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (+ 1 a)) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 a))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a))))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (+ 1 a)) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 a))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a))))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1094 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 a) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (* a a)) (* b b)) (+ (* -9 (* a a)) 1))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 1 a) (+ (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ 1 (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 a) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (* a a)) (* b b)) (+ (* -9 (* a a)) 1))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 1 a) (+ (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ 1 (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1095 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (* a a) (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (+ 1 a))) (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (* (* b b) (+ 1 (* a a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (+ 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (* a a) (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (+ 1 a))) (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (* (* b b) (+ 1 (* a a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (+ 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1096 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ 1 a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* a a) (* (* a a) (+ 1 a))) (* (* (+ 1 a) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (+ 1 a) (- 1 (* a a))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ 1 a)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* a a) (* (* a a) (+ 1 a))) (* (* (+ 1 a) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1097 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (* (* b b) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ 1 a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (* (* b b) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ 1 a)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1098 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (pow (* a (* 9 a)) 3)))) (* (- 1 (pow (* a a) 3)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (- 1 a)) (- 1 (pow (* a (* 9 a)) 3)))) (* (- 1 (pow (* a a) 3)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1099 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4))) (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (- 1 (pow (* 9 (* a a)) 3))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4))) (+ (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (- 1 (pow (* 9 (* a a)) 3))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ 1 (* 9 (* a a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1100 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ 1 a)) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (* b b) (- 1 a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (- 1 (pow (* a a) 3))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ 1 a)) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ (+ 1 (* 9 (* a a))) (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1101 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* (* a a) 9) 3)))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* (* a a) 9) 3)))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4)))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1102 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (+ 1 a) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (- 1 (* a a)) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))) (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (+ 1 a) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (- 1 (* a a)) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1103 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ 1 (* a a)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* (* (+ 1 (* a a)) (* (- 1 a) (* b b))) (- 1 (pow (* (* a a) 9) 3))) (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ 1 a) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ 1 (* a a)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* (* (+ 1 (* a a)) (* (- 1 a) (* b b))) (- 1 (pow (* (* a a) 9) 3))) (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ 1 a) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1104 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (- 1 a))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (* (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (- 1 (* a a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (- 1 (pow (* (* a a) 9) 3)) (* (* b b) (- 1 a))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (* (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (- 1 (* a a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1105 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (- (* a a) (* (* a 3) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (- (* a a) (* (* a 3) (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))))) (* (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1106 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 a))))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow (* a a) 3)) (+ 1 (* a (* 9 a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ 1 a)) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 a))))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (pow (* a a) 3)) (+ 1 (* a (* 9 a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ 1 a)) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1107 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* (* a a) 9)) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ 1 (* (* a a) 9)) (- 1 (* (* a a) (* a a)))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (- 1 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* (* a a) 9)) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ 1 (* (* a a) 9)) (- 1 (* (* a a) (* a a)))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (- 1 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1108 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a a) 9)))) (* (* (* (* b b) (- 1 a)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b)))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* (* a a) 9))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a a) 9)))) (* (* (* (* b b) (- 1 a)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) a) (* b b)))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* (* a a) 9))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) a) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) a) (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1109 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* (* a a) 9)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* (* a a) 9)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* (* a a) 9)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ 1 (* (* a a) 9)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1110 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (* a (* 9 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (+ 1 (* a (* 9 a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (* (- 1 a) (* b b)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (* a (* 9 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (+ 1 (* a (* 9 a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (* (- 1 a) (* b b)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1111 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* (* a a) 9)))) (* (* (+ 1 (* a a)) (* (- 1 a) (* b b))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (* (+ 1 (* (* a a) 9)) (+ 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* (* a a) 9)))) (* (* (+ 1 (* a a)) (* (- 1 a) (* b b))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (* (+ 1 (* (* a a) 9)) (+ 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1112 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 a) (* b b)))) (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (+ 1 (* (* a a) 9)))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ 1 (* (* a a) 9)) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 a) (* b b)))) (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (+ 1 (* (* a a) 9)))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ 1 (* (* a a) 9)) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1113 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 (* (* a a) 9)))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 a) (* b b))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4)))) (* (* (* (+ 1 (* (* a a) 9)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 (* (* a a) 9)))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 a) (* b b))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4)))) (* (* (* (+ 1 (* (* a a) 9)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1114 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) (- (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))))) (* (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))) (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (+ (pow (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) 3) (pow (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))) 3)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) (- (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))))) (* (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))) (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (+ (pow (* (- 1 (* a a)) (+ (* (* a 3) (* a a)) (* a a))) 3) (pow (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))) 3)) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1115 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (- (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))))) (* (* (- (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (+ (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (- (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))))) (* (* (- (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a)))) (+ (* (- 1 (* (* a a) 9)) (* (* b b) (- 1 a))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1116 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (+ a 1)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))))) (* (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (* a a) (+ a 1))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (+ a 1)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))))) (* (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* b b) (- 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (* a a) (+ a 1))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1117 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (pow (* 9 (* a a)) 3))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ 1 a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (pow (* 9 (* a a)) 3))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ 1 a)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1118 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ 1 a) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ 1 a) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- 1 (pow a 3)) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1119 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (+ (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (pow a 3) 729) (pow a 3)))) (* (* (- 1 (pow a 4)) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ 1 a) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (+ (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* (pow a 3) 729) (pow a 3)))) (* (* (- 1 (pow a 4)) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))) (* (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ 1 a) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1120 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1))))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a a) (* a 3)))) (* (+ (* a a) (+ a 1)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1))))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (* (* a a) (* a 3)))) (* (+ (* a a) (+ a 1)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1121 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- 1 (pow (* 9 (* a a)) 3)) (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (* a a) (+ a 1)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- 1 (pow (* 9 (* a a)) 3)) (* (+ 1 (* a a)) (* (* b b) (- 1 (pow a 3))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))) (* 4 (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (+ (* a a) (+ a 1)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1122 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (* a a) (+ a 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (+ (* (* (- 1 (pow a 3)) (- 1 (pow (* 9 (* a a)) 3))) (* (* b b) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (+ (* a a) (+ a 1)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (* a a) (+ a 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (+ (* (* (- 1 (pow a 3)) (- 1 (pow (* 9 (* a a)) 3))) (* (* b b) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (+ (* a a) (+ a 1)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1123 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4))) (+ (* (* (+ (+ 1 a) (* a a)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (- 1 (* a a)) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))) 4))) (+ (* (* (+ (+ 1 a) (* a a)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (- 1 (* a a)) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (- 1 (pow (* 9 (* a a)) 3)) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1124 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* 729 (pow (* a a) 3)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* 729 (pow (* a a) 3)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1125 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 1 (* a a)) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* 729 (pow a 3)) (pow a 3)))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (* (* a a) (* a a)))) (* (+ 1 a) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 (* a a)) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 a) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 1 (* a a)) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* 729 (pow a 3)) (pow a 3)))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (- 1 (* (* a a) (* a a)))) (* (+ 1 a) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 (* a a)) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 a) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1126 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ 1 a) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ 1 a)) (* (+ (* (* (+ 1 a) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (- 1 (pow (* a a) 3)) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ 1 a) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (+ 1 a)) (* (+ (* (* (+ 1 a) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (- 1 (pow (* a a) 3)) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a a) (* a 3))))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1127 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* 9 (* a a)) 3)))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* 9 (* a a)) 3)))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1128 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a))) (* (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (- 1 (* a a)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (pow (* (* 9 a) a) 3))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)) (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ 1 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a))) (* (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (- 1 (* a a)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (pow (* (* 9 a) a) 3))) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)) (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ 1 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a)) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1129 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ 1 a) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)) (+ (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (* b b) (* (- 1 (* a a)) (+ 1 (* a a))))) (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (* a a) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ 1 a) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)) (+ (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (* b b) (* (- 1 (* a a)) (+ 1 (* a a))))) (* (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (* a a) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1130 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (- 1 (* a a)) (* b b))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (- 1 (* a a)) (* b b))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1131 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4) (+ (* (* (- 1 (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* 9 (* a a)) 3))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4) (+ (* (* (- 1 (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* 9 (* a a)) 3))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 a) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1132 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (+ 1 (* (* a a) 9))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (+ 1 (* (* a a) 9))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1133 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ 1 (* a a)) (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (- 1 (pow a 4)))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ 1 (* a a)) (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (- 1 (pow a 4)))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1134 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (- 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ 1 a)) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* b b) (- 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ 1 (* (* a a) 9)) (+ (+ 1 a) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ 1 a)) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1135 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2))))))) (+ (* (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ 1 (* 9 (* a a)))))) (* (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ 1 (* 9 (* a a))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2))))))) (+ (* (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ 1 (* 9 (* a a)))))) (* (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (* (+ 1 (* 9 (* a a))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1136 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b))))))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1137 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ 1 (* 9 (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (+ 1 (* 9 (* a a))) (* (+ (* a a) (+ a 1)) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1138 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (+ (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (- 1 (pow a 3)))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (+ 1 (* 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 a) (* a a))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (+ (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (- 1 (pow a 3)))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (+ 1 (* 9 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1139 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ 1 a)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* 9 (* a a)))) (+ (* a a) (+ a 1))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (+ 1 (* 9 (* a a))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ 1 a)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* 9 (* a a)))) (+ (* a a) (+ a 1))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1140 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ 1 a) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (+ (* (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (+ 1 (* 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (- 1 (* a a)) (* b b))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ 1 a) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (+ (* (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (+ 1 (* 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (- 1 (* a a)) (* b b))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1141 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ 1 (* a a))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ 1 a)) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ 1 (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (* (- 1 (* (* a a) (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ 1 (* a a))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ 1 a)) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ 1 (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (* (- 1 (* (* a a) (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1142 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a))) (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b)))))) (+ (* (- 1 (pow (* a a) 3)) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* (* a 9) a)) (+ 1 a)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (* (* (+ 1 (* (* a 9) a)) (+ 1 a)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a))) (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b)))))) (+ (* (- 1 (pow (* a a) 3)) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* (* a 9) a)) (+ 1 a)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (* (* (+ 1 (* (* a 9) a)) (+ 1 a)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1143 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))))) (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 (* a a)) (* b b)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))))) (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (+ 1 (* 9 (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))))) (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 (* a a)) (* b b)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))))) (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (+ 1 (* 9 (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1144 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* 9 (* a a))) (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ 1 a)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) 4) (+ (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 (* 9 (* a a))) (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ 1 a)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) 4) (+ (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1145 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (* a a) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ 1 (* 9 (* a a))) (* (+ 1 (* a a)) (+ 1 a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (* a a) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ 1 (* 9 (* a a))) (* (+ 1 (* a a)) (+ 1 a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1146 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (+ (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* 9 (* a a))) (+ 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (+ (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* 9 (* a a))) (+ 1 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1147 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ 1 a))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4))) (+ (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ 1 a))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4))) (+ (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1148 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4) (+ (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3)))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ 1 a))) (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (+ a 1)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4) (+ (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3)))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ 1 a))) (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (+ a 1)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1149 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 a) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (+ 1 a) (* a a))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 a) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (- 1 (pow a 4)) (+ (+ 1 a) (* a a)))) (* (* (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (+ 1 a) (* a a))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1150 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) 4)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ 1 a))) (* (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) 4)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ 1 a))) (* (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (+ 1 a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1151 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1))))))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)) (+ (* (* (- 1 (* (* a a) 9)) (* (- 1 (pow a 3)) (* b b))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (+ 1 a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1))))))) (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)) (+ (* (* (- 1 (* (* a a) 9)) (* (- 1 (pow a 3)) (* b b))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (+ 1 a))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1152 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (+ a 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (+ (* (* (- 1 (pow a 3)) (* b b)) (* (+ (* -9 (* a a)) 1) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) (+ a 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (+ (* (* (- 1 (pow a 3)) (* b b)) (* (+ (* -9 (* a a)) 1) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (* (* a 3) (* a a)) (* a a)))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1153 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (+ 1 (* a a)) (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (* a a) (+ a 1)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (+ 1 (* a a)) (* (* (- 1 (pow a 3)) (* b b)) (+ (* -9 (* a a)) 1))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (* a a) (+ a 1)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1154 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (pow a 3)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 a) (* a a)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4) (+ (* (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (pow a 3)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 a) (* a a)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1155 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* (* a a) 9))) (* (* b b) (- 1 (pow a 3)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a)))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* (* a a) 9))) (* (* b b) (- 1 (pow a 3)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a)))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1156 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ 1 a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))) (* (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))))) (* (+ 1 a) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ 1 a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))) (* (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))))) (* (+ 1 a) (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1157 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a)))))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ 1 a) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a)))))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ 1 a) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1158 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* -9 (* a a)) 1) (* (- 1 (* a a)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 a)) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* -9 (* a a)) 1) (* (- 1 (* a a)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 a)) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1159 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 a))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a))))))) (* (+ 1 a) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a)))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 a))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a))))))) (* (+ 1 a) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a)))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1160 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (* (+ (* (* (- 1 (* a a)) (* b b)) (* (+ (* -9 (* a a)) 1) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* a a) (* (* a a) (* a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (* (+ (* (* (- 1 (* a a)) (* b b)) (* (+ (* -9 (* a a)) 1) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* a a) (* (* a a) (* a 3))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1161 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a a)) (+ 1 a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (* (+ (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (* (* b b) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* (* a a) (* a a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) 4)) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))))) (+ 1 a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a a)) (+ 1 a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (* (+ (* (* (- 1 (* a (* a 9))) (- 1 (* a a))) (* (* b b) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* (* a a) (* a a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) 4)) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))))) (+ 1 a))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1162 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 a) (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 (* a a))))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 a) (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (- 1 (* 9 (* a a))) (* (* b b) (- 1 (* a a))))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ 1 a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1163 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 a) (- (* a a) (* (* a 3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 a))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* -9 (* a a)) 1)) (* (* b b) (- 1 (* a a)))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 a) (- (* a a) (* (* a 3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 a))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* -9 (* a a)) 1)) (* (* b b) (- 1 (* a a)))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1164 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1))) (* (- 1 (pow (* (* 9 a) a) 3)) (* (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1))) (* (- 1 (pow (* (* 9 a) a) 3)) (* (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1165 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ 1 a) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (+ (* (* (* (* (* b b) (- 1 a)) (- 1 (* (* 729 (pow a 3)) (pow a 3)))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (- 1 (* (* a a) (* a a)))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (+ 1 (* a a))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ 1 a) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (+ (* (* (* (* (* b b) (- 1 a)) (- 1 (* (* 729 (pow a 3)) (pow a 3)))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (- 1 (* (* a a) (* a a)))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (+ 1 (* a a))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1166 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (- 1 (pow (* a a) 3))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* b b) (- 1 a)))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (- 1 (pow (* a a) 3))) (* (- 1 (* 729 (pow (* a a) 3))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* b b) (- 1 a)))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1167 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (+ 1 a) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- 1 (pow (* (* a 9) a) 3)) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (- 1 (* (* a a) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (+ 1 a) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- 1 (pow (* (* a 9) a) 3)) (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))) (- 1 (* (* a a) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1168 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* 729 (pow (* a a) 3)))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* (* b b) (- 1 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* 729 (pow (* a a) 3)))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1169 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (pow (* (* a 9) a) 3)) (* (* (* b b) (- 1 a)) (+ 1 (* a a)))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ 1 (* a a)) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (pow (* (* a 9) a) 3)) (* (* (* b b) (- 1 a)) (+ 1 (* a a)))) (* (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1)) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ 1 (* a a)) (+ (* (* (* a 9) a) (* (* a 9) a)) (+ (* (* a 9) a) 1))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1170 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 a)) (- 1 (* 729 (pow (* a a) 3)))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (* (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (- 1 a)) (- 1 (* 729 (pow (* a a) 3)))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (* (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ (* (* 9 a) a) 1) (* (* (* 9 a) a) (* (* 9 a) a))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1171 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 a) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* a a))))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 a))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)) (- (* a a) (* (* a 3) (* a a))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 a) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (+ (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (* a a))))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 a))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (* (* (* 9 a) a) (* (* 9 a) a)) (+ (* (* 9 a) a) 1)) (- (* a a) (* (* a 3) (* a a))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1172 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ (* (* (+ 1 (* (* a 9) a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (* b b) (- 1 a)) (- 1 (* (* (* a 9) a) (* (* a 9) a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ 1 (* (* a 9) a)) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ (* (* (+ 1 (* (* a 9) a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (* b b) (- 1 a)) (- 1 (* (* (* a 9) a) (* (* a 9) a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ 1 (* (* a 9) a)) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1173 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b)))))))) (+ (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 a))) (* (+ 1 (* a a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))))) (* (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* a a)) (+ 1 (* 9 (* a a))))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (* b (* (* a 2) (* a b)))))))) (+ (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 a))) (* (+ 1 (* a a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))))) (* (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* a a)) (+ 1 (* 9 (* a a))))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1174 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* (* a a) 9)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a a) 9)))) (* (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 (* (* a a) 9)) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a a) 9)))) (* (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1175 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))) (+ 1 (* 9 (* a a)))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* 9 (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (+ 1 a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))) (+ 1 (* 9 (* a a)))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* 9 (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (+ 1 a))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1176 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a a) 9)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 a) (* b b))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ 1 a)) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 (* (* a a) 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a a) 9)))) (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 a) (* b b))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (+ 1 a)) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 (* (* a a) 9))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1177 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* 9 (* a a))))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 a) (* b b)) (+ 1 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* 9 (* a a))) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* 9 (* a a))))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 a) (* b b)) (+ 1 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* 9 (* a a))) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1178 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4) (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 a)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4) (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 a)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1179 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 (* 9 (* a a))))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 a) (* b b))))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 (* 9 (* a a))))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 a) (* b b))))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1180 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a)))) (* (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) (- (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ 1 a)) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (pow (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) 3) (pow (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a)))) (* (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) (- (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ 1 a)) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4)) (+ (pow (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) 3) (pow (* (- 1 (* a a)) (+ (* a a) (* (* a 3) (* a a)))) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1181 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a)))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ 1 a)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a)))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ 1 a)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1182 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* 729 (* (pow a 3) (pow a 3))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (+ (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* 729 (* (pow a 3) (pow a 3))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1183 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (pow (* a (* a 9)) 3))) (* (* (- 1 (pow a 4)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))))) (* (* (+ 1 a) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (pow (* a (* a 9)) 3))) (* (* (- 1 (pow a 4)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))))) (* (* (+ 1 a) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1184 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ (+ 1 a) (* a a)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* (pow a 3) 729) (- (pow a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ (+ 1 a) (* a a)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (- 1 (pow a 3)) (* b b)) 1) (* (* (- 1 (pow a 3)) (* b b)) (* (* (pow a 3) 729) (- (pow a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1185 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* 729 (pow a 3)) (* (* a a) (- a))) (* (* b b) (- 1 (pow a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* 729 (pow a 3)) (* (* a a) (- a))) (* (* b b) (- 1 (pow a 3))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1186 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ 1 a)) (* (+ (* (+ (* a a) (+ a 1)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (pow (* a (* 9 a)) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ 1 a)) (* (+ (* (+ (* a a) (+ a 1)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (pow (* a (* 9 a)) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1187 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ 1 a))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ 1 a))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1188 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))))) (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (pow (* a (* a 9)) 3))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ 1 a)) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))))) (* (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (- 1 (pow (* a (* a 9)) 3))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ 1 a)) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1189 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ 1 a))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ 1 a))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1190 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a a) 9) 3)))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a a) 9) 3)))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ 1 (* (* a a) 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1191 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- 1 (* a a)) (* b b)))) (+ 1 (* a a))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (* (+ 1 a) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (- 1 (* 729 (pow (* a a) 3))) (* (- 1 (* a a)) (* b b)))) (+ 1 (* a a))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (* (+ 1 a) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1192 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a (* a 9)) 3)) (* (- 1 (* a a)) (* b b)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a (* a 9)) 3)) (* (- 1 (* a a)) (* b b)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1193 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (* (+ 1 (* a a)) (* (- 1 (pow (* a (* a 9)) 3)) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (* (+ 1 (* a a)) (* (- 1 (pow (* a (* a 9)) 3)) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1194 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ 1 a) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (* (- 1 (* a a)) (* b b)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- 1 (* (* 729 (pow a 3)) (pow a 3)))))) (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ 1 a)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 a))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4) (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ 1 a) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (* (- 1 (* a a)) (* b b)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- 1 (* (* 729 (pow a 3)) (pow a 3)))))) (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ 1 a)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 a))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1195 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (* (- 1 (* a a)) (+ 1 (* a a)))) (- 1 (pow (* a (* a 9)) 3))) (* (* (+ 1 a) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (* (- 1 (* (* a a) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 a) (+ 1 (* a a))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* b b) (* (- 1 (* a a)) (+ 1 (* a a)))) (- 1 (pow (* a (* a 9)) 3))) (* (* (+ 1 a) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (* (- 1 (* (* a a) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 a) (+ 1 (* a a))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1196 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* a (* a 9)) 3)))) (* (* (- 1 (* a a)) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (+ 1 a) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 a) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* a (* a 9)) 3)))) (* (* (- 1 (* a a)) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (+ 1 a) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 a) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1197 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (- 1 (* a a))) (* (+ 1 a) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (* (+ 1 a) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (- 1 (* a a))) (* (+ 1 a) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)) (* (+ 1 a) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1198 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (+ (* (+ 1 (* a (* 9 a))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (+ (* (+ 1 (* a (* 9 a))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1199 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))))) (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (pow a 4)) (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))))) (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (pow a 4)) (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1200 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (* (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (* (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1201 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- 1 (pow a 3)))) (* (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- 1 (pow a 3)))) (* (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (- 1 (pow a 4))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1202 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ 1 a)) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a (* 9 a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ 1 a)) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a (* 9 a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1203 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a)))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ 1 (* a (* 9 a)))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (* (+ (* a a) (+ a 1)) (+ 1 (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a)))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ 1 (* a (* 9 a)))))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (* (+ (* a a) (+ a 1)) (+ 1 (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1204 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow a 3)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (- 1 (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow a 3)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* b b) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (- 1 (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (* (+ 1 (* a (* 9 a))) (+ (* a a) (+ a 1))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1205 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (+ (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (- 1 (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (+ (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (* (- 1 (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (* (* (+ 1 (* a (* 9 a))) (+ (+ 1 a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1206 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (- 1 (pow (* a a) 3))) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (- 1 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (- 1 (pow (* a a) 3))) (* (+ 1 (* a (* 9 a))) (+ 1 a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1207 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (* a a) (* a a))) (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (* (+ 1 (* a a)) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (* a a) (* a a))) (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (* (+ 1 (* a a)) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a a)) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1208 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3))))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1209 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (+ (* (* (- 1 (* (* a a) (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (+ (* (* (- 1 (* (* a a) (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (+ 1 (* a (* 9 a))) (+ 1 a))) (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (* a a)) (* b b)) (- (* a a) (* (* a 3) (* a a))))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1210 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (* a a)) (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (+ 1 a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 (* a (* 9 a)))) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- 1 (* a a)) (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (+ 1 a)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 1 (* a (* 9 a)))) (+ 1 a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1211 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4)))) (* (* (* (+ 1 (* a (* 9 a))) (* (+ 1 a) (+ 1 (* a a)))) (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a))))) (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4)))) (* (* (* (+ 1 (* a (* 9 a))) (* (+ 1 a) (+ 1 (* a a)))) (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1212 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))) (+ (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (- 1 (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a (* 9 a))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))) (+ (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (- 1 (* a a))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1213 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ 1 a)) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (- 1 (* a a)) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (* a a)) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ 1 a)) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ (* (- 1 (* a a)) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (+ 1 (* a (* 9 a))) (+ 1 a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (* a a)) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 a) (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1214 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a))))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a))))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1215 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3)))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3)))))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1216 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 4) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (pow a 3))))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1217 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a a) 9))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a a) 9))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1218 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (* a 3) (* a a))))))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (* a 3) (* a a))))))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1219 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 a) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 a) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (* (* a 3) (* a a)) (* a a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ 1 (* a a)) (+ (+ 1 a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1220 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (* (* (+ (+ 1 a) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a))) (* (pow a 4) (+ (+ 1 a) (* a a)))))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (* (- 1 (* (* a a) 9)) (* (- 1 (pow a 3)) (* b b))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (+ (+ 1 a) (* a a)))))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (+ 1 a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (* (* (+ (+ 1 a) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a))) (* (pow a 4) (+ (+ 1 a) (* a a)))))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (* (- 1 (* (* a a) 9)) (* (- 1 (pow a 3)) (* b b))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (+ (+ 1 a) (* a a)))))) (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (+ 1 a))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1221 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ 1 a)) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (* (* 9 a) a)) (* (- 1 (pow a 3)) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ 1 a)) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (+ (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 (* (* 9 a) a)) (* (- 1 (pow a 3)) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))))) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (+ 1 a) (* a a)) (- (* a a) (* (* a 3) (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1222 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a))))))))) (* (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4) (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a))))))))) (* (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1223 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (+ 1 (* -9 (* a a))) (* (- 1 (* a a)) (* b b))) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (- 1 (* (* a a) (* a a))) (+ 1 a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ 1 a))) (* (+ 1 (* a a)) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (* (+ 1 (* -9 (* a a))) (* (- 1 (* a a)) (* b b))) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (* (- 1 (* (* a a) (* a a))) (+ 1 a)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ 1 a))) (* (+ 1 (* a a)) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1224 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (+ (* -9 (* a a)) 1)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (* (- 1 (* a a)) (* b b)) (+ (* -9 (* a a)) 1)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1225 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (* (- 1 (* (* a a) (* a a))) (+ 1 a))) (* (* (* (- 1 (* a a)) (* b b)) (+ (* -9 (* a a)) 1)) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ 1 a) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (* (- 1 (* (* a a) (* a a))) (+ 1 a))) (* (* (* (- 1 (* a a)) (* b b)) (+ (* -9 (* a a)) 1)) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (+ 1 a) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1226 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (* a a)) (* b b)) (+ (* -9 (* a a)) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 (* a a)) (* b b)) (+ (* -9 (* a a)) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1227 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 a) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ 1 a) (* a a)) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (+ 1 a)) (* (* (+ 1 (* a a)) (* (- 1 (* a a)) (* b b))) (+ 1 (* -9 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ 1 a) (* a a)) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (+ 1 a)) (* (* (+ 1 (* a a)) (* (- 1 (* a a)) (* b b))) (+ 1 (* -9 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ 1 a)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 a) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1228 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (+ 1 a))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (* (* (+ 1 a) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* (* a a) (+ 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4) (+ (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (+ 1 a))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (* (* (+ 1 a) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* (* a a) (+ 1 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1229 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)))) (* (* (* (+ (* (* (* (- 1 (* a a)) (* b b)) (+ (* -9 (* a a)) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ 1 a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a)))) (* (* (* (+ (* (* (* (- 1 (* a a)) (* b b)) (+ (* -9 (* a a)) 1)) (- (* a a) (* (* a 3) (* a a)))) (* (* (+ 1 a) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ 1 a)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1230 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 a)) (- 1 (* (* 729 (pow a 3)) (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ 1 a) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (- 1 a)) (- 1 (* (* 729 (pow a 3)) (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ 1 a) (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1231 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ 1 (* a a))) (* (* (* b b) (- 1 a)) (- 1 (* 729 (pow (* a a) 3))))) (* (- 1 (* (* a a) (* a a))) (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (+ 1 (* a a))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ 1 (* a a))) (* (* (* b b) (- 1 a)) (- 1 (* 729 (pow (* a a) 3))))) (* (- 1 (* (* a a) (* a a))) (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (+ 1 (* a a))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1232 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (- 1 a)) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ 1 a) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (- 1 a)) (- 1 (pow (* a (* 9 a)) 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ 1 a) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1233 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (+ (* (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (- 1 (* (* a a) (* a a)))) (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* a (* a 9)) 3))))) (* (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4))) (+ (* (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (- 1 (* (* a a) (* a a)))) (* (* (* (* (* b b) (- 1 a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* a (* a 9)) 3))))) (* (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1234 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4) (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (* (- 1 (pow (* a (* a 9)) 3)) (* (* (* b b) (- 1 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1235 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* a a)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ 1 a)) (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (+ 1 (* a a)) (* (- 1 a) (* b b)))) (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* a a)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (+ 1 a)) (* (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (+ 1 (* a a)) (* (- 1 a) (* b b)))) (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1236 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ 1 a)) (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (- 1 (pow (* a (* a 9)) 3)) (* (* b b) (- 1 a))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (+ 1 a)) (* (* 4 (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (+ (* (* (- 1 (pow (* a (* a 9)) 3)) (* (* b b) (- 1 a))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1237 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (- 1 (* (* 729 (pow a 3)) (pow a 3))) (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 a) (* b b)))) (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (- 1 (* a a))))) (* (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ 1 a) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))) (+ (* (- 1 (* (* 729 (pow a 3)) (pow a 3))) (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 a) (* b b)))) (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (- 1 (* a a))))) (* (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1238 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 a)))) (* (* (+ 1 (* a (* 9 a))) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (* a (* 9 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 a)))) (* (* (+ 1 (* a (* 9 a))) (- 1 (pow (* a a) 3))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ 1 a) (* 4 (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (* a (* 9 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1239 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (* (* a a) (* a a)))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 a))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (+ 1 (* a a)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ 1 a)) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (* (* a a) (* a a)))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3))) (* (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* b b) (- 1 a))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (+ 1 (* a a)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ 1 a)) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1240 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 a)) (- (* a a) (* (* a 3) (* a a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1241 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* a (* 9 a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ 1 a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1)))) (* (* (+ (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* a (* 9 a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (+ 1 a)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1242 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (* a (* 9 a)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a 3) (* a a)) (* a a))) (+ 1 (* a (* 9 a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (- 1 a) (* b b))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (* a (* 9 a)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* (* a 3) (* a a)) (* a a))) (+ 1 (* a (* 9 a)))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (- 1 a) (* b b))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1243 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (* (* a a) (* a a)))) (+ (* a a) (* (* a 3) (* a a)))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (+ (* (* (+ 1 (* a (* 9 a))) (- 1 (* (* a a) (* a a)))) (+ (* a a) (* (* a 3) (* a a)))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))) (* (+ 1 a) (* 4 (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a)))))) 1)) * * * * [misc]progress: [ 1244 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (+ 1 (* a (* 9 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (+ (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (+ 1 (* a (* 9 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (* (+ (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ 1 a)) (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1245 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)) (* (+ (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 (* a (* 9 a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ 1 a)) (* (+ (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 (* a (* 9 a))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) 4)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a (* 9 a)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1246 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) 3) (pow (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) 3)) (* (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (+ (* (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a))))) (* (- (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a))))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))) (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (pow (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) 3) (pow (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) 3)) (* (* (+ 1 a) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (* (+ (* (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a))))) (* (- (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a))))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))) (* (* (+ (* a 3) 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 (* a a)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1247 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (* (- (* (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a))))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (+ 1 a) (* (- (* (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a))))) (* (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (* (* (* b b) (- 1 a)) (- 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1248 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (+ (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (+ 1 a) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 (* a a)) (+ (* a 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (+ (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (+ 1 a) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))))) 1)) * * * * [misc]progress: [ 1249 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ 1 (* 3 a)) (- (* 1 1) (* a a))))) (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* b b) (- 1 a)) (- 1 (* 9 (* a a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (* a a)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ 1 a) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (* (- 1 (* a a)) (+ (* a 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ 1 a))) (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))) 1)) * * * * [misc]progress: [ 1250 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (315 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (- 1 (pow (* a a) 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (pow a 3) (* 729 (pow a 3)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 a) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (- 1 (pow (* a a) 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (pow a 3) (* 729 (pow a 3)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 a) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1251 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4))) (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow a 4)))) (* (+ (* (* (* b b) (- 1 (pow a 3))) 1) (* (* (* b b) (- 1 (pow a 3))) (* (* (pow a 3) 729) (* (* a a) (- a))))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4))) (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow a 4)))) (* (+ (* (* (* b b) (- 1 (pow a 3))) 1) (* (* (* b b) (- 1 (pow a 3))) (* (* (pow a 3) 729) (* (* a a) (- a))))) (* (+ 1 (* a a)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1252 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 729 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a a) (+ a 1)) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* 729 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1253 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))) (+ 1 (* a a)))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))) (+ 1 (* a a)))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3))))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1254 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (pow (* a a) 3))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 a) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (pow (* a a) 3))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 a) (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1255 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (- 1 (pow a 3)) (* (* b b) (+ 1 (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))) (* (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (- 1 (pow a 3)) (* (* b b) (+ 1 (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* a a) (* (* a 3) (* a a)))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1256 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 a) (* a a)) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) 4))) (+ (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (pow (* 9 (* a a)) 3)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 a) (* a a)) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) 4))) (+ (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (pow (* 9 (* a a)) 3)) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (* a 3) (pow a 4)) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1257 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (* (* 27 a) (* a a)) 1)) (* (- 1 a) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (* (pow a 3) (* (pow a 3) 729))) (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3))))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (* (* 27 a) (* a a)) 1)) (* (- 1 a) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1258 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (+ (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (+ (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1))) (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1259 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 a)) (* (+ 1 (* a a)) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (* (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a a) 9) 3))) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 a)) (* (+ 1 (* a a)) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (* (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a a) 9) 3))) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1260 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* b b) (- 1 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (+ 1 a)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* b b) (- 1 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (+ 1 a)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1261 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* a a) 9) 3)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (- 1 (* (* a a) (* a a)))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4))) (* (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (+ (pow (* a 3) 3) 1)) (* (- 1 a) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* (* a a) 9) 3)))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (- 1 (* (* a a) (* a a)))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4))) (* (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (+ (pow (* a 3) 3) 1)) (* (- 1 a) (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1262 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* (* a a) 9) 3))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a))))) (* (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))) (- 1 (pow (* (* a a) 9) 3))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a))))) (* (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (+ (* (* a a) 9) 1) (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1263 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 (* a a)) (+ 1 a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 a)) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (* a a) (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 (* a a)) (+ 1 a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 a)) (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (* (* a a) (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1264 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a a) 9) 3))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a a) 9) 3))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))) (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 a)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1265 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 (* a a)) (* b b)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 a)) (* (- 1 (* a a)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (- 1 (pow (* (* a a) 9) 3)) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 (* a a)) (* b b)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 a)) (* (- 1 (* a a)) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1266 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1267 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ 1 (* a (* 9 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4))) (+ (* (+ 1 (* a (* 9 a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ 1 (* a (* 9 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) 4))) (+ (* (+ 1 (* a (* 9 a))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (- 1 (pow a 3)) (* b b)) (+ (* a a) 1)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1268 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* (* b b) (- 1 (pow a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a a) 3))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1269 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) (* (* (+ 1 (* a (* 9 a))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))) (+ (* a a) 1)) (* (* (+ (* (* a 3) (* a a)) (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a))))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) (* (* (+ 1 (* a (* 9 a))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) 4) (+ (* (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))) (+ (* a a) 1)) (* (* (+ (* (* a 3) (* a a)) (* a a)) (* (- (* a a) (* (* a 3) (* a a))) (- 1 (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a))))))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1270 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1))) (+ 1 (* a (* 9 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a))))))) (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) (+ a 1))) (+ 1 (* a (* 9 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (* b b) (- 1 (pow a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a))))))) (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1271 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- 1 (pow a 3)) (* (* b b) (+ (* a a) 1))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow a 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* a (* 9 a))) (* (+ (* a a) 1) (+ (+ 1 a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- 1 (pow a 3)) (* (* b b) (+ (* a a) 1))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow a 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* a (* 9 a))) (* (+ (* a a) 1) (+ (+ 1 a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1272 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (- 1 (pow a 3)) (* b b)))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* a a)) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a)))))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (- 1 (pow a 3)) (* b b)))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) (* (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (+ (* a a) (+ a 1)) (+ 1 (* a (* 9 a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1273 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a (* 9 a)))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (+ (* (* a a) (* a 3)) (* a a)) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (* a a))))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a (* 9 a)))) (+ (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a (* 9 a)))) (* (+ (* (* a a) (* a 3)) (* a a)) (* (- (* a a) (* (* a a) (* a 3))) (- 1 (* a a))))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1274 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (+ 1 (* 9 (* a a)))))) (* (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))))) (* (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (+ 1 (* 9 (* a a)))))) (* (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1275 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ 1 (* a a)) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ 1 (* a a)) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1276 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (+ 1 (* (* a a) 9)) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* (* a a) 9) (* (* a a) 9))))) (* (+ 1 (* (* a a) 9)) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1277 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (- 1 (* (* a a) (* a a))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (- 1 (* (* a a) (* a a))) (* (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1278 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (* (+ 1 (* 9 (* a a))) (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (* (+ 1 (* 9 (* a a))) (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b)))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1279 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* 9 (* a a))) (* (+ 1 a) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ 1 (* 9 (* a a))) (* (+ 1 a) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1280 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 a) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 a) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1281 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ 1 (* 9 (* a a))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 (* a a)) (* b b)))) (* (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (+ 1 (* 9 (* a a))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ 1 (* 9 (* a a))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 (* a a)) (* b b)))) (* (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))) (+ 1 (* 9 (* a a))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1282 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b)))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* a 2) (* a b)) b))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))) (+ (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1283 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ 1 (* -9 (* a a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ 1 (* -9 (* a a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1284 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ (* a a) (+ a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (- 1 (* a (* a 9))) (* (* b b) (- 1 (pow a 3)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1285 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))))) (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)) (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))))) (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (* b (* (* a 2) (* a b))))) (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ (* a a) (+ a 1))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1286 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (pow (* a a) 3))) (+ (+ 1 a) (* a a))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (* (* (* (* b b) (- 1 (pow a 3))) (+ (* -9 (* a a)) 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (+ (* a a) (* (* a 3) (* a a))) (- 1 (pow (* a a) 3))) (+ (+ 1 a) (* a a))))) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (+ 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1287 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (* 9 (* a a))) (+ 1 (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a))) (* (* (* b b) (- 1 (pow a 3))) (* (- 1 (* 9 (* a a))) (+ 1 (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1288 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (+ (* (+ (+ 1 a) (* a a)) (pow a 4)) (* (* (+ (+ 1 a) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (+ (* (+ (+ 1 a) (* a a)) (pow a 4)) (* (* (+ (+ 1 a) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1289 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) 4))) (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (* a a) (+ a 1)))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) 4))) (+ (* (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (* a a) (+ a 1)))))) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* a a)) (* b b)) 3)) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (pow (* (* 2 (* a a)) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1290 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (* (* b b) (- 1 (* a a))) (+ (* -9 (* a a)) 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1291 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))) (+ 1 (* a a))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4)) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ 1 (* a a)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1292 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* 9 (* a a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (* (* (* b b) (- 1 (* a a))) (- 1 (* 9 (* a a))))) (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4)) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1293 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4) (+ (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4) (+ (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))))))) (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1294 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ (* -9 (* a a)) 1) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4)))) (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (+ (* -9 (* a a)) 1) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4)))) (* (* (* (+ 1 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1295 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ 1 (* a a)) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a a) 9)))) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (* (* a a) (* a a))) (+ 1 a))))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (+ (+ 1 a) (* (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ 1 (* a a)) (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* a a) 9)))) (* (+ (* (* a 3) (* a a)) (* a a)) (* (- 1 (* (* a a) (* a a))) (+ 1 a))))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (+ (+ 1 a) (* (+ 1 a) (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1296 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4) (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))))) (* (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (+ (* (* (+ 1 a) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a))) (* (* (* a a) (* a a)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4) (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))))) (* (* (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3))) (* (+ (* (* (+ 1 a) (* (* a 3) (* a a))) (- (* (* a 3) (* a a)) (* a a))) (* (* (* a a) (* a a)) (+ 1 a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1297 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (- (* a a) (* (* a 3) (* a a))) (+ 1 a))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1298 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (* (- 1 a) (* b b)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (- 1 (pow (* 9 (* a a)) 3))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 a) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (* (- 1 a) (* b b)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (- 1 (pow (* 9 (* a a)) 3))) (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 a) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1299 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 a) (* b b)) (- 1 (pow (* (* a a) 9) 3))) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* (- 1 a) (* b b)) (- 1 (pow (* (* a a) 9) 3))) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2))))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 (* a a))) (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1300 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 a) (- 1 (pow (* (* a a) 9) 3))) (* (* b b) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 a) (- 1 (pow (* (* a a) 9) 3))) (* (* b b) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1301 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (- 1 (* 729 (pow (* a a) 3))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))) (* (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (+ (* 9 (* a a)) 1) (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1302 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (pow (* a a) 3))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* 729 (pow (* a a) 3)))) (* (* (+ (* a a) (* (* a a) (* a 3))) (- 1 (pow (* a a) 3))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1303 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (- 1 (* (* a a) (* a a))) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- 1 (pow (* (* a a) 9) 3))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (* (- 1 (* (* a a) (* a a))) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- 1 (pow (* (* a a) 9) 3))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)) (+ 1 (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1304 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (* (- 1 a) (* b b)) (- 1 (* 729 (pow (* a a) 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))))) (* (+ (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (* (- 1 (* a a)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a))) (* (* (- 1 a) (* b b)) (- 1 (* 729 (pow (* a a) 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4))) (* (* (* (+ (* (* 9 (* a a)) (* 9 (* a a))) (+ (* 9 (* a a)) 1)) (+ (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a))) (* (* a a) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1305 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* (* a a) 9) 3))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4) (+ (* (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (- 1 (pow (* (* a a) 9) 3))) (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ (* (* (* a a) 9) (* (* a a) 9)) (+ (* (* a a) 9) 1)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1306 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (* (+ 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (* (+ 1 (* 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4)))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (* (+ 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1307 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ 1 (* a a)) (+ 1 (* a (* 9 a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ 1 (* a (* 9 a))) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ 1 (* a a)) (+ 1 (* a (* 9 a))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1308 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ 1 (* (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 (* (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (- 1 (* (* (* a a) 9) (* (* a a) 9))) (* (* (* (- 1 a) (* b b)) (- (* a a) (* (* a 3) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ 1 (* (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))))))) (* (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 (* (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1309 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* a (* 9 a))))) (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 (* a a)) (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) 4) (+ (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* a (* 9 a))))) (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (* (* a (* 9 a)) (* a (* 9 a))))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ 1 (* a a)) (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1310 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (pow (* a a) 3))) (+ (* (* a 3) (* a a)) (* a a))) (* (* (* (- 1 a) (* b b)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4) (+ (* (* (+ 1 (* 9 (* a a))) (- 1 (pow (* a a) 3))) (+ (* (* a 3) (* a a)) (* a a))) (* (* (* (- 1 a) (* b b)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (+ 1 (* 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1311 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 (* a a)) (* (- 1 a) (* b b)))) (* (+ 1 (* a (* 9 a))) (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ 1 (* a a)) (* (- 1 a) (* b b)))) (* (+ 1 (* a (* 9 a))) (* (- 1 (* (* a a) (* a a))) (+ (* a a) (* (* a a) (* a 3)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ 1 (* a (* 9 a))) (+ 1 (* a a))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1312 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ 1 (* a (* 9 a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ 1 (* a (* 9 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) 4))) (+ (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* (* a (* 9 a)) (* a (* 9 a)))))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* a a)) (+ 1 (* a (* 9 a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ 1 (* a (* 9 a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1313 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 a) (* b b)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 (* a (* 9 a))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* a (* 9 a))) (- (* a a) (* (* a 3) (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2))))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) (* (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) 4) (+ (* (- 1 (* (* a (* 9 a)) (* a (* 9 a)))) (* (- (* a a) (* (* a 3) (* a a))) (* (- 1 a) (* b b)))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* a a)) (+ 1 (* a (* 9 a))))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (* (* b b) a) (* a 2)))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (* (+ 1 (* (* 9 a) a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1314 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (+ (pow (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) 3) (pow (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (pow (* (- 1 (* a (* 9 a))) (* (- 1 a) (* b b))) 3) (pow (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) 3)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* (* (- 1 (* a (* 9 a))) (* (- 1 a) (* b b))) (* (- 1 (* a (* 9 a))) (* (- 1 a) (* b b)))) (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a (* 9 a))) (* (- 1 a) (* b b)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4) (+ (pow (* (- 1 (* a (* 9 a))) (* (- 1 a) (* b b))) 3) (pow (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) 3)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (+ (* (* (- 1 (* a (* 9 a))) (* (- 1 a) (* b b))) (* (- 1 (* a (* 9 a))) (* (- 1 a) (* b b)))) (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (* (- 1 (* a (* 9 a))) (* (- 1 a) (* b b)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (- (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1315 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) 4) (- (* (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b)))) (* (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (+ (pow (* a 3) 3) 1)) (* (- 1 a) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (- (* (- 1 (* 9 (* a a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (- 1 (* 9 (* a a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a)))) (+ (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (- 1 (* 9 (* a a))) (* (- 1 a) (* b b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (+ (pow (* a 3) 3) 1)) (* (- 1 a) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (- (* (- 1 (* 9 (* a a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* b b) a) (* a 2)) (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))))) (* (* (- (* (- 1 (* 9 (* a a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a)))) (+ (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* a a))) (* (- 1 (* 9 (* a a))) (* (- 1 a) (* b b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (- (* (- 1 (* (* 9 a) a)) (* (- 1 a) (* b b))) (* (+ (* a a) (* (* a a) (* 3 a))) (- 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1316 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (88 enodes) * * [misc]simplify: iters left: 5 (323 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (+ (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (- 1 (pow a 3)) (* b b)))) (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow (* a a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) (* (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 a) (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (+ (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (- 1 (pow (* a (* 9 a)) 3)) (* (- 1 (pow a 3)) (* b b)))) (* (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (- 1 (pow (* a a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))))) (* (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 a) (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1317 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4))) (+ (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (pow a 3) (* 729 (pow a 3))))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4))) (+ (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)))) (* (* (* (- 1 (pow a 3)) (* b b)) (- 1 (* (pow a 3) (* 729 (pow a 3))))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1318 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (+ (* (* (* b b) (- 1 (pow a 3))) 1) (* (* (* b b) (- 1 (pow a 3))) (* (* (pow a 3) 729) (- (pow a 3))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 a) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (* a a) (* (* a 3) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (+ (* (* (* b b) (- 1 (pow a 3))) 1) (* (* (* b b) (- 1 (pow a 3))) (* (* (pow a 3) 729) (- (pow a 3))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ (* a a) (+ a 1)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (+ (pow (* a 3) 3) 1)) (* (- 1 a) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (* a a) (* (* a 3) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1319 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (* 1 (* (- 1 (pow a 3)) (* b b))) (* (* (* 729 (pow a 3)) (* (* a a) (- a))) (* (- 1 (pow a 3)) (* b b)))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))))) (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4)) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (pow a 4))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3)))))) (* (+ (* 1 (* (- 1 (pow a 3)) (* b b))) (* (* (* 729 (pow a 3)) (* (* a a) (- a))) (* (- 1 (pow a 3)) (* b b)))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))))) (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4)) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (* (+ (+ 1 a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1320 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (+ 1 a) (* a a)) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) 4)) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ (+ 1 a) (* a a)) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (* (* a 3) (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (- 1 (* (pow a 3) (* 729 (pow a 3)))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) 4)) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (+ (+ 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1321 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4)) (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a)))) (- 1 (pow (* a (* a 9)) 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ (* a a) (+ a 1)) (+ 1 (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 4)) (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (* (* a a) (* a 3)) (* a a)))) (* (* (* b b) (* (- 1 (pow a 3)) (+ 1 (* a a)))) (- 1 (pow (* a (* a 9)) 3))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (+ (* a a) (+ a 1)) (+ 1 (* a a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1322 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* 729 (pow a 3)) (* (* a a) (- a))) (* (* b b) (- 1 (pow a 3)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (+ (pow (* a a) 3) (pow (* (* a 3) (* a a)) 3)))) (* (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ (* 1 (* (* b b) (- 1 (pow a 3)))) (* (* (* 729 (pow a 3)) (* (* a a) (- a))) (* (* b b) (- 1 (pow a 3)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))))) (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1323 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (pow (* a (* a 9)) 3))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 a) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)))) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (* (* b b) (- 1 (pow a 3)))) (- 1 (pow (* a (* a 9)) 3))) (* (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (+ 1 a) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1324 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (318 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ 1 a)) (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4))) (+ (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* a (* a 9)) 3)))) (* (* (- 1 (pow (* a a) 3)) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ 1 a)) (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4))) (+ (* (* (+ (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))) (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (- 1 (* a a))) (- 1 (pow (* a (* a 9)) 3)))) (* (* (- 1 (pow (* a a) 3)) (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1325 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* a a)) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a))) (* (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (- 1 (* 729 (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* a a)) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3)))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a))) (* (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (- 1 (* 729 (* (pow a 3) (pow a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1326 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- 1 (* a a)) (* b b)) (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* (* a a) (* a 3)) (* a a)) (- (* a a) (* (* a a) (* a 3)))))) (* (* (- 1 (* a a)) (* b b)) (* (- 1 (* 729 (pow (* a a) 3))) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 1 a))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1327 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (* (* a a) (* a a))))) (* (* (- 1 (* a a)) (- 1 (* (* (pow a 3) 729) (pow a 3)))) (* (* b b) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (* (+ 1 a) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (+ (* (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (- 1 (* (* a a) (* a a))))) (* (* (- 1 (* a a)) (- 1 (* (* (pow a 3) 729) (pow a 3)))) (* (* b b) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1328 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (* (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ 1 a) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* a a)) (* b b))) (- 1 (* (pow a 3) (* 729 (pow a 3)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 a)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (* (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ 1 a) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- 1 (* a a)) (* b b))) (- 1 (* (pow a 3) (* 729 (pow a 3)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1329 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ 1 (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (* (* a a) (* a a))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ 1 a) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (* b b) (* (- 1 (* a a)) (+ 1 (* a a)))) (- 1 (* (* (pow a 3) 729) (pow a 3))))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (* (* a 2) (* a (* b b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (+ 1 a) (+ 1 (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (* (* a a) (* a a))) (* (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a)))) (* (+ 1 a) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (* b b) (* (- 1 (* a a)) (+ 1 (* a a)))) (- 1 (* (* (pow a 3) 729) (pow a 3))))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (* (* a 2) (* a (* b b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1330 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a a) 9) 3))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (+ 1 a) (- 1 (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (+ (+ 1 (* (* a a) 9)) (* (* (* a a) 9) (* (* a a) 9)))) (* (* (* (- 1 (* a a)) (* b b)) (- 1 (pow (* (* a a) 9) 3))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1331 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (* a a))))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (- (* a a) (* (* a a) (* a 3))) (* (* b b) (- 1 (* a a))))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (* (+ 1 a) (- 1 (* a a))) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3))))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (+ 1 a) (- (* a a) (* (* a a) (* a 3))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1332 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (* (+ 1 (* (* a 9) a)) (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a)))) (* (+ 1 (* (* a 9) a)) (* (* (+ (+ 1 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (* (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1333 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ 1 (* (* a 9) a))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ 1 (* (* a 9) a))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))))) (* (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))) (+ (* (* (- 1 (pow a 4)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 (* (* a 9) a)) (+ (* a a) (+ a 1)))) (* (* (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1334 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (- 1 (pow a 3)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (* (+ (* a a) (* (* a 3) (* a a))) (- (* a a) (* (* a 3) (* a a))))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (- 1 (pow a 3)) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* b b) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) 4))) (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1335 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a)))) (- 1 (pow a 4))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a)))) (- 1 (pow a 4))) (* (* (- 1 (pow a 3)) (* b b)) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a)))))))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ 1 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1336 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (+ (* (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))) (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a)))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 (pow a 3)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* 9 (* a a))) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1337 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a))) (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- 1 (pow a 3)) (* (* b b) (+ 1 (* a a)))))))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))) (+ 1 (* (* a 9) a)))) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a))) (* (- 1 (pow a 4)) (+ (* (* a 3) (* a a)) (* a a)))) (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (- 1 (pow a 3)) (* (* b b) (+ 1 (* a a)))))))) (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* (+ 1 (* a a)) (+ (+ 1 a) (* a a))) (+ 1 (* (* a 9) a)))) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1338 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ 1 (* (* a 9) a))) (* (+ (+ 1 a) (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (+ (* (- 1 (* a a)) (* (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow a 3)) (* b b)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ 1 (* (* a 9) a))) (* (+ (+ 1 a) (* a a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))))) (* (+ (* (- 1 (* a a)) (* (* (+ 1 (* (* a 9) a)) (+ (+ 1 a) (* a a))) (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow a 3)) (* b b)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1339 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ 1 (* (* a 9) a)) (- (* a a) (* (* a 3) (* a a))))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a)))) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))) (* (+ 1 (* (* a 9) a)) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ 1 (* (* a 9) a)) (- (* a a) (* (* a 3) (* a a))))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1))) (* (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1)))) (* (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a)))) (+ (* (- 1 (* (* (* a 9) a) (* (* a 9) a))) (* (* (* b b) (- 1 (pow a 3))) (- (* a a) (* (* a 3) (* a a))))) (* (+ 1 (* (* a 9) a)) (* (* (+ (+ 1 a) (* a a)) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1340 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (302 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (+ (* (* (- 1 (pow (* a a) 3)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (+ (* (* (- 1 (pow (* a a) 3)) (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3))) (* (+ 1 (* (* a a) 9)) (+ 1 a))) (* (* (* (* (- 1 (* a a)) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (* (* a a) 9)) (+ 1 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1341 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ 1 (* a a))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ 1 (* a a)) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* b b) (- 1 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (+ 1 (* a a))) (* (+ 1 (* 9 (* a a))) (* (* (+ 1 a) (- 1 (* (* a a) (* a a)))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))) (* (* a 2) (* a (* b b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ 1 (* a a)) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1342 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (+ 1 (* 9 (* a a)))) (* (* (- 1 (* a a)) (* b b)) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3))))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3)))) (* (+ 1 (* 9 (* a a))) (+ 1 a))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1)))) (* (+ (* (* (* (+ 1 a) (- 1 (pow (* a a) 3))) (* (+ (* a a) (* (* a a) (* a 3))) (- (* a a) (* (* a a) (* a 3))))) (+ 1 (* 9 (* a a)))) (* (* (- 1 (* a a)) (* b b)) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3))))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1343 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (+ (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* a a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (+ (* (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (- 1 (* (* a a) (* a a)))) (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a))))) (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* (* b b) (- 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))) (+ 1 (* a a)))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1344 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ 1 (* (* a 9) a)) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 (* (* a 9) a)) (+ 1 a))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ 1 (* (* a 9) a)) (+ 1 a)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 (* (* a 9) a)) (+ 1 a))) (* (* (* (* b b) (- 1 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 1 (* (* (* a 9) a) (* (* a 9) a))))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1345 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* 9 (* a a))) (* (+ 1 (* a a)) (+ 1 a)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 (* 9 (* a a))) (+ 1 a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (* (+ 1 (* 9 (* a a))) (* (+ 1 (* a a)) (+ 1 a)))) (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) (- 1 (* a a))) (+ 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a 3) (* a a)) (* a a))) (* (+ 1 (* 9 (* a a))) (+ 1 a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))))) (* (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1346 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 (* 9 (* a a))) (+ 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (- 1 (* a a))) (- 1 (* (* 9 (* a a)) (* 9 (* a a))))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (- 1 (* a a)) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))) (* (+ 1 (* 9 (* a a))) (+ 1 a)))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ 1 (* 9 (* a a))) (+ 1 a))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1347 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 (* a a)) (* b b)))) (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (- (* a a) (* (* a a) (* a 3))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (- (* a a) (* (* a a) (* a 3))) (* (- 1 (* a a)) (* b b)))) (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (* (- 1 (* a a)) (+ (* (* a a) (* a 3)) (* a a))) (- (* a a) (* (* a a) (* a 3)))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))))) (* (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (* (+ 1 (* 9 (* a a))) (+ 1 a)) (* (- (* a a) (* (* a a) (* a 3))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (* (+ 1 (* (* 9 a) a)) (+ 1 a)) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1348 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (+ a 1)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))))) (* (+ (* (+ (pow (* (* a a) (* a 3)) 3) (pow (* a a) 3)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (+ a 1)))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (- 1 (pow a 3)) (* b b)) (+ 1 (* -9 (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1349 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4) (+ (* (+ 1 (* -9 (* a a))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4) (+ (* (+ 1 (* -9 (* a a))) (* (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4))))) (* (* (+ (* a a) (+ a 1)) (- 1 (pow a 4))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* (* (* a a) (* a 3)) (* (* a a) (* a 3))) (- (* (pow a 4) (* a 3)) (pow a 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1350 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (+ 1 a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (* (- (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ (+ 1 a) (* a a)))) (* (* (- 1 (* (* 9 a) a)) (* (- 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1351 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (- (* a a) (* (* a 3) (* a a))))) (+ (pow (* (* a 2) (* a (* b b))) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a 2) (* a (* b b))) 3)) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a 2) (* a (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a (* b b))) (- (* (* a 2) (* a (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1)))) (* (* (+ 1 (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* a 2) (* a (* b b))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1352 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (+ (* (+ (* a a) (+ a 1)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a 3) (* a a))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (+ (* a a) (+ a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (+ (* (+ (* a a) (+ a 1)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) (* (* a 3) (* a a))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1353 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 1 (* a a)) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a a) 9)))) (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 1 (* a a)) (* (* (* b b) (- 1 (pow a 3))) (- 1 (* (* a a) 9)))) (* (+ (* a a) (* (* a 3) (* a a))) (* (- 1 (pow a 4)) (+ (* a a) (+ a 1))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (* a a) (+ a 1)) (+ 1 (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1354 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (pow a 3)))) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ (+ 1 a) (* a a))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (* (* (* a 3) (* a a)) (* (* a 3) (* a a))) (- (* (* a 3) (pow a 4)) (pow a 4)))) (+ (+ 1 a) (* a a))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1355 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (pow 1 3) (pow a 3)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (- (* a a) (* (* a 3) (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4)) (+ (* (- (* a a) (* (* a 3) (* a a))) (* (* (* b b) (- 1 (pow a 3))) (+ 1 (* -9 (* a a))))) (* (* (+ (* a a) (+ a 1)) (- 1 (* a a))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* (* a 3) (* a a)) (* a a)))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (* (* 27 a) (* a a)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (+ a 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1356 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a))))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4)))) (* (* (* (+ 1 a) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 a) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (- 1 (* a a)) (* b b)) (- 1 (* a (* 9 a))))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4)))) (* (* (* (+ 1 a) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1357 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* a a)) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* (* a a) (* a a))) (+ 1 a)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* a a)) (+ 1 a))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* a a)) (* (* (* b b) (- 1 (* a a))) (+ 1 (* -9 (* a a)))))) (* (+ (* (pow a 3) (pow a 3)) (pow (* (* a 3) (* a a)) 3)) (* (- 1 (* (* a a) (* a a))) (+ 1 a)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a)))) (* (+ 1 (* a a)) (+ 1 a))) (* (* (+ (pow (* (* (* a 2) (* a b)) b) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a 2) (* a b)) b) 3))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1358 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ 1 a)))) (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ 1 a))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ 1 a)))) (* (* (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))) (* (+ (* (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))) (* (- 1 (pow (* a a) 3)) (+ 1 a))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) 4))) (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1359 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 a))))) (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a))) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))) 4) (+ (* (* (- (* a a) (* (* a 3) (* a a))) (+ 1 (* a a))) (* (+ (* -9 (* a a)) 1) (* (* b b) (- 1 (* a a))))) (* (* (- (* a a) (* (* a 3) (* a a))) (+ (* a a) (* (* a 3) (* a a)))) (* (- 1 (* (* a a) (* a a))) (+ 1 a))))) (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ 1 (* a a)) (+ 1 a))) (+ (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1360 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (* (* b b) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (+ 1 a) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ (* a a) 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* a a)) (+ 1 (* -9 (* a a)))) (* (* b b) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (+ 1 a) (+ (* (* a 3) (* a a)) (* a a))))) (* (* (+ (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (* a (* (* b b) (* a 2))))) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ (+ 1 a) (* (* (+ 1 a) (* a a)) (+ (* a a) 1))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1361 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ 1 (* a a))) (* (+ 1 a) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* b (- 1 (* a a))) (* b (+ 1 (* a a)))) (- 1 (* 9 (* a a)))) (* (+ 1 a) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a))))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (+ 1 a) (* (* a a) (+ 1 a))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (* 4 (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) (+ (* (* (* b (- 1 (* a a))) (* b (+ 1 (* a a)))) (- 1 (* 9 (* a a)))) (* (+ 1 a) (* (+ (* (* a a) (* a 3)) (* a a)) (- 1 (* (* a a) (* a a))))))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (+ 1 a) (* (* a a) (+ 1 a))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1362 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ 1 a) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ 1 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ 1 a)) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (- 1 (* a a)) (* b b)) (+ 1 (* -9 (* a a)))) (+ (* (* a a) (* a a)) (* (* (* a 3) (* a a)) (- (* (* a 3) (* a a)) (* a a))))) (* (+ (pow (* (* a 3) (* a a)) 3) (* (pow a 3) (pow a 3))) (* (- 1 (* a a)) (+ 1 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (* (* (* b b) a) (* a 2))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1363 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- 1 (* (* 9 a) a)) (* (- (* 1 1) (* a a)) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ 1 a) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4) (+ (* (* (+ 1 a) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (- (* a a) (* (* a a) (* a 3))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a))))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a))) 4) (+ (* (* (+ 1 a) (- 1 (* a a))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3))))) (* (- (* a a) (* (* a a) (* a 3))) (* (+ 1 (* -9 (* a a))) (* (* b b) (- 1 (* a a))))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (* a a) (* (* a a) (* a 3))) (+ 1 a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 a) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1364 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 a) (* b b)) (- 1 (pow (* a (* 9 a)) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* (- 1 a) (* b b)) (- 1 (pow (* a (* 9 a)) 3)))))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (- (* a 3) 1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) (* b b)) (* (* a 2) a)))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1365 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ 1 (* a a)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4))) (+ (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))) (* (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))) (* (+ 1 (* a a)) (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9))))))) (* (* (* (+ (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))) (* b (* (* a 2) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))) 4))) (+ (* (- 1 (* 729 (* (pow a 3) (pow a 3)))) (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (+ (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (- (* (* a a) (* a 3)) (* a a)))))) (* (+ (+ 1 (* a (* a 9))) (* (* a (* a 9)) (* a (* a 9)))) (* (- 1 (* (* a a) (* a a))) (+ (pow (* (* a a) (* a 3)) 3) (* (pow a 3) (pow a 3)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1366 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))))) (* (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (- 1 (pow (* a a) 3)) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (* (- 1 a) (* b b)) (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))))) (* (+ (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (- 1 (pow (* a a) 3)) (- (* (* a a) (* a a)) (* (* (* a a) (* a 3)) (* (* a a) (* a 3)))))) (* (* (- 1 a) (* b b)) (* (- 1 (* (* (pow a 3) 729) (pow a 3))) (* (- (* a a) (* (* a a) (* a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2)))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1367 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (* (* a a) (* a a))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a (* a 9)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (* (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* (* b b) a) (* a 2)) (+ (pow a 4) (pow b 4))) (* (* (* b b) a) (* a 2))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (* (* (* b b) a) (* a 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (* (* a a) (* a a))) (* (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (* a a) (* (* a a) (* a 3)))))) (* (* (* (* (- 1 a) (* b b)) (+ 1 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (- 1 (pow (* a (* a 9)) 3)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2)))) 4))) (* (* (* (+ 1 (* a a)) (- (* a a) (* (* a a) (* a 3)))) (+ (* (* a (* a 9)) (* a (* a 9))) (+ 1 (* a (* a 9))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) a) (* a 2)) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (pow (* (* (* b b) a) (* a 2)) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) a) (* a 2))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1368 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* (* 729 (pow a 3)) (pow a 3))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* (+ (* (* (- 1 (pow (* a a) 3)) (+ (* (* a a) (* a 3)) (* a a))) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))) (* (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- 1 (* (* 729 (pow a 3)) (pow a 3))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (* (* (* a 2) (* a b)) b))) 4)))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (* (* a (* 9 a)) (* a (* 9 a))) (+ 1 (* a (* 9 a))))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1369 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (- 1 a) (* b b)) (+ 1 (* a a)))) (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ 1 (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (- 1 a) (* b b)) (+ 1 (* a a)))) (* (* (- 1 (* (* a a) (* a a))) (+ (* (* a a) (* a 3)) (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2))))) 4)) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (+ (* (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* a 2)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* a 2))) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (pow (* a (* (* b b) (* a 2))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (+ 1 (* a a))) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ 1 (* a a))))))) 1)) * * * * [misc]progress: [ 1370 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* (* 729 (pow a 3)) (pow a 3))))) (* (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (- 1 (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))))) (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))) (* (* (+ (* (+ (* (* a a) (* a a)) (* (- (* (* a 3) (* a a)) (* a a)) (* (* a 3) (* a a)))) (* (* (- 1 a) (* b b)) (- 1 (* (* 729 (pow a 3)) (pow a 3))))) (* (* (+ (pow (* (* a 3) (* a a)) 3) (pow (* a a) 3)) (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a))))) (- 1 (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) 4))) (* (* (+ (* (* (* (* a 2) (* a b)) b) (- (* (* (* a 2) (* a b)) b) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a 2) (* a b)) b) (+ (- (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a)))))))))) 1)) * * * * [misc]progress: [ 1371 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (pow 1 3) (pow (* (* 9 a) a) 3)) (* (- 1 a) (* b b))) (- (* a a) (* (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- 1 (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* a a) (* (* a a) (* a 3))))))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (* (- 1 (pow (* a (* 9 a)) 3)) (* (* (- 1 a) (* b b)) (- (* a a) (* (* a a) (* a 3))))) (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (* (- 1 (* a a)) (+ (* a a) (* (* a a) (* a 3)))) (- (* a a) (* (* a a) (* a 3))))))) (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (* (* (* b b) (* a 2)) a) (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))))) (* (* (* (+ (+ 1 (* a (* 9 a))) (* (* a (* 9 a)) (* a (* 9 a)))) (* (- (* a a) (* (* a a) (* a 3))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* 1 1) (+ (* (* (* 9 a) a) (* (* 9 a) a)) (* 1 (* (* 9 a) a)))) (- (* a a) (* (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1372 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ 1 (* (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* 4 (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ (* (* (+ 1 (* (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (* (* (- 1 a) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (* (+ (pow (* b (* (* a 2) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* b (* (* a 2) (* a b))) 3)))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ 1 (* (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* b (* (* a 2) (* a b))) (- (* b (* (* a 2) (* a b))) (+ (pow a 4) (pow b 4))))) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* b (* (* a 2) (* a b))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (* 4 (* (- (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))))))) (+ (* (* (+ 1 (* (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (pow a 3)) (pow (* (* a a) (* a 3)) 3))) (* (* (* (- 1 a) (* b b)) (- 1 (* (* (* a a) 9) (* (* a a) 9)))) (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1373 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (+ (pow (* a a) 3) (pow (* (* a a) (* 3 a)) 3)) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a)))))) (+ (* (* (+ (* a a) 1) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (- 1 a) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* (* a a) (* a a))) (+ 1 (* 9 (* a a))))))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (* a a) 1) (+ 1 (* 9 (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* 4 (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a 2)) a) (* (* (* b b) (* a 2)) a)))))) (+ (* (* (+ (* a a) 1) (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3))))) (* (* (- 1 a) (* b b)) (- 1 (* (* 9 (* a a)) (* 9 (* a a)))))) (* (+ (pow (* a a) 3) (pow (* (* a a) (* a 3)) 3)) (* (- 1 (* (* a a) (* a a))) (+ 1 (* 9 (* a a))))))) (* (* (+ (* (* a a) (* a a)) (* (- (* (* a a) (* a 3)) (* a a)) (* (* a a) (* a 3)))) (* (+ (* a a) 1) (+ 1 (* 9 (* a a))))) (* (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))))) (* (* (- 1 a) (+ (pow (* a 3) 3) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (+ (* (* a a) (* a a)) (- (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a))) (* (* a a) (* (* a a) (* 3 a))))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1374 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a 9) a)))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (- 1 a) (* b b)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (* (* a 9) a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (- (* (* a 3) (* a 3)) (- (* a 3) 1)) (+ (* (* (* (* b b) (* a 2)) a) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4)))))) (* (+ (* (* (+ (* (* a 3) (* a a)) (* a a)) (- (* a a) (* (* a 3) (* a a)))) (* (- 1 (pow (* a a) 3)) (+ 1 (* (* a 9) a)))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) (* (* a 3) (* a a)))) (- 1 (* (* (* a 9) a) (* (* a 9) a)))) (* (- 1 a) (* b b)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) 4)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a 2)) a) 3)) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (pow (* (* (* b b) (* a 2)) a) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (- (* a a) (* (* a 3) (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (* (* a 9) a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))))))))) 1)) * * * * [misc]progress: [ 1375 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))) (* (+ 1 (* (* 9 a) a)) (* (- (* (* a a) (* a a)) (* (* (* a a) (* 3 a)) (* (* a a) (* 3 a)))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* 9 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* a a) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* a 2))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))))) (- (* (* a 3) (* a 3)) (+ (* a 3) -1))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* a (* (* b b) (* a 2))) (- (* a (* (* b b) (* a 2))) (+ (pow a 4) (pow b 4))))) (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (* (- 1 a) (* b b)) (+ (* a a) 1)) (- (* a a) (* (* a a) (* a 3))))) (* (* (- (* a a) (* (* a a) (* a 3))) (+ (* (* a a) (* a 3)) (* a a))) (* (- 1 (* (* a a) (* a a))) (+ 1 (* 9 (* a a)))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) 4))))) (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* a 2)))) (* (* (+ 1 (* 9 (* a a))) (- (* a a) (* (* a a) (* a 3)))) (+ (* a a) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (* (- (* a a) (* (* a a) (* 3 a))) (+ 1 (* a a)))))))) 1)) * * * * [misc]progress: [ 1376 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (pow 1 3) (pow (* a a) 3)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ 1 (* 9 (* a a))) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (* (* (- (* (* a 3) (* a 3)) (+ (* a 3) -1)) (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- 1 (* (* 9 (* a a)) (* 9 (* a a)))) (* (* (- 1 a) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ 1 (* 9 (* a a))) (* (- 1 (pow (* a a) 3)) (+ (* (* a 3) (* a a)) (* a a))))) (* (* 4 (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2))))) (* (- 1 a) (+ (pow (* a 3) 3) 1))) (* (+ (* (* (* (* a 2) (* a b)) (* (* a 2) (* a b))) (* (* (* b b) a) (* (* b b) (* a 2)))) (pow (+ (pow a 4) (pow b 4)) 3)) (* (* (+ 1 (* 9 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 1377 / 32184 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a (* 2 a)) (* b b)) 3)) (* (+ (pow 1 3) (pow (* 3 a) 3)) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ 1 (* (* 9 a) a)) (+ 1 (* a a))))) (* (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b))) (* (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* 1 1) (- (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a (* 2 a)) (* b b)) (* (* a (* 2 a)) (* b b)))) 4) (+ (* (* (- (* 1 1) (* (* (* 9 a) a) (* (* 9 a) a))) (* (- 1 a) (* b b))) (+ 1 (* a a))) (* (+ 1 (* (* 9 a) a)) (* (+ (* a a) (* (* a a) (* 3 a))) (- (* 1 1) (* (* a a) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (247 enodes)